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| {{DISPLAYTITLE:''n''th root}}
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| {{Calculation results}}
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| [[Image:Roots chart.png|thumb|Roots of numbers 0 through 10. Line labels = ''x''. X axis = ''n''. Y axis = ''n''th root of ''x''.]]
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| In [[mathematics]], the '''''n''th root''' of a [[number]] ''x'' is a number ''r'' which, when raised to the power of ''n'', equals ''x''
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| :<math>r^n = x,</math>
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| where ''n'' is the ''degree'' of the root. A root of degree 2 is called a ''[[square root]]'' and a root of degree 3, a ''[[cube root]]''. Roots of higher degree are referred to using ordinal numbers, as in ''fourth root'', ''twentieth root'', etc.
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| For example:
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| * 2 is a square root of 4, since 2<sup>2</sup> = 4.
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| * −2 is also a square root of 4, since (−2)<sup>2</sup> = 4.
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| A [[real number]] or [[complex number]] has ''n'' roots of degree ''n''. While the roots of 0 are not distinct (all equaling 0), the ''n'' ''n''th roots of any other real or complex number are all distinct. If ''n'' is even and ''x'' is real and positive, one of its ''n''th roots is positive, one is negative, and the rest are complex but not real; if ''n'' is even and ''x'' is real and negative, none of the ''n''th roots is real. If ''n'' is odd and ''x'' is real, one ''n''th root is real and has the same sign as the radicand , while the other roots are not real.
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| Roots are usually written using the '''radical symbol''' or ''radix'' <math>\sqrt{\,\,}</math> or <math>\surd{}</math>, with <math>\sqrt{x}\!\,</math> or <math>\surd x</math> denoting the square root, <math>\sqrt[3]{x}\!\,</math> denoting the cube root, <math>\sqrt[4]{x}</math> denoting the fourth root, and so on. In the expression <math>\sqrt[n]{x}</math>, ''n'' is called the '''index''', <math>\sqrt{\,\,}</math> is the '''radical sign''' or ''radix'', and ''x'' is called the '''radicand'''. When a number is presented under the radical symbol, it must return only one result like a [[function (mathematics)|function]], so a non-negative real root, called the '''principal ''n''th root''', is preferred rather than others. An unresolved root, especially one using the radical symbol, is often referred to as a '''surd'''<ref>{{cite book |title=New Approach to CBSE Mathematics IX |first=R K |last=Bansal |page=25 |year=2006 |isbn=978-81-318-0013-3 |publisher=Laxmi Publications |url=http://books.google.com/books?id=1C4iQNUWLBwC&pg=PA25#v=onepage&q&f=false}}</ref> or a '''radical'''.<ref name=silver>{{cite book|last=Silver|first=Howard A.|title=Algebra and trigonometry|year=1986|publisher=Prentice-Hall|location=Englewood Cliffs, N.J.|isbn=0-13-021270-9}}</ref> Any expression containing a radical, whether it is a square root, a cube root, or a higher root, is called a '''radical expression'''.
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| In [[calculus]], '''roots''' are treated as special cases of ''exponentiation'', where the ''exponent'' is a [[Fraction (mathematics)|fraction]]:
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| :<math>\sqrt[n]{x} \,=\, x^{1/n}</math>
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| Roots are particularly important in the theory of infinite [[Series (mathematics)|series]]; the [[root test]] determines the [[radius of convergence]] of a [[power series]]. ''Nth roots'' can also be defined for [[complex number]]s, and the complex roots of 1 (the [[Root of unity|roots of unity]]) play an important role in higher mathematics. [[Galois theory]] can be used to determine which [[algebraic number]]s can be expressed using roots, and to prove the [[Abel-Ruffini theorem]], which states that a general [[polynomial]] equation of degree five or higher cannot be solved using roots alone; this result is also known as "the insolubility of the quintic".
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| ==History==
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| The origin of the root symbol √ is largely speculative. Some sources imply that the symbol was first used by Arabic mathematicians. One of those mathematicians was [[Abū al-Hasan ibn Alī al-Qalasādī]] (''1421–1486''). Legend has it that it was taken from the [[Arabic]] letter "{{rtl-lang|tg-Arab|ج}}" (''[[Gimel#Arabic ǧīm|ǧīm]],'' {{IPAc-en|dʒ|i|m}}), which is the first letter in the Arabic word "{{rtl-lang|tg-Arab|جذر}}" (''jadhir'', meaning "root"; {{IPAc-en|'|dʒ|ah|dh|i|r}}).<ref>{{cite web|url=http://itre.cis.upenn.edu/~myl/languagelog/archives/002662.html |title=Language Log: ''Ab surd'' |accessdate=22 June 2012}}</ref> However, many scholars, including [[Leonhard Euler]],<ref>{{cite book|title=''Institutiones calculi differentialis''|author=Leonhard Euler|year=1755|language=Latin}}</ref> believe it originates from the letter "r", the first letter of the [[Latin]] word "[[radix]]" (meaning "root"), referring to the same [[Operation (mathematics)|mathematical operation]]. The symbol was first seen in print without the [[vinculum (symbol)|vinculum]] (the horizontal "bar" over the numbers inside the radical symbol) in the year 1525 in ''Die Coss'' by [[Christoff Rudolff]], a [[German people|German]] mathematician.
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| The term ''surd'' traces back to [[Khwārizmī|al-Khwārizmī]] (c. 825), who referred to rational and irrational numbers as ''audible'' and ''inaudible'', respectively. This later led to the Arabic word "{{rtl-lang|tg-Arab|أصم}}" (''asamm'', meaning "deaf" or "dumb") for ''irrational number'' being translated into Latin as "surdus" (meaning "deaf" or "mute"). [[Gerard of Cremona]] (c. 1150), [[Fibonacci]] (1202), and then [[Robert Recorde]] (1551) all used the term to refer to ''unresolved irrational roots''.<ref>{{cite web |url=http://jeff560.tripod.com/s.html |title=Earliest Known Uses of Some of the Words of Mathematics|publisher=Mathematics Pages by Jeff Miller|accessdate=2008-11-30}}</ref>
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| ==Definition and notation==
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| [[File:NegativeOne4Root.svg|thumb|The four 4th roots of −1,<br/> none of which is real]]
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| [[File:NegativeOne3Root.svg|thumb|The three 3rd roots of −1,<br/> one of which is a negative real]]
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| The '''''n''th root''' of a number ''x'', where ''n'' is a positive integer, is a number ''r'' whose ''n''th power is ''x'':
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| :<math>r^n = x.\!\,</math>
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| Every positive [[real number]] ''x'' has a single positive ''n''th root, which is written <math>\sqrt[n]{x}</math>. For ''n'' equal to 2 this is called the square root and the ''n'' is omitted. The ''n''th root can also be represented using [[exponentiation]] as ''x''<sup>1/n</sup>.
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| For even values of ''n'', positive numbers also have a negative ''n''th root, while negative numbers do not have a real ''n''th root. For odd values of ''n'', every negative number ''x'' has a real negative ''n''th root. For example, −2 has a real 5th root, <math>\sqrt[5]{-2} \,= -1.148698354\ldots</math> but −2 does not have any real 6th roots.
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| Every non-zero number ''x'', real or [[Complex number|complex]], has ''n'' different complex number ''n''th roots including any positive or negative roots, see [[#Complex roots|complex roots]] below. The ''n''th root of 0 is 0.
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| The ''n''th roots of almost all numbers (all integer except the ''n''th powers, and all rationals except the quotients of two ''n''th powers) are [[irrational number|irrational]]. For example,
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| :<math>\sqrt{2} = 1.414213562\ldots</math>
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| All ''n''th roots of integers, or in fact of any [[algebraic number]], are algebraic.
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| For the extension of powers and roots to indices that are not positive integers, see [[exponentiation]].
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| The character codes for the radical symbols are
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| {| class="wikitable" style="text-align:center;"
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| ! Read !! Character !! [[Unicode]] !! [[ASCII]] !! [[Uniform Resource Locator|URL]] !! [[HTML]] <small>(others)</small>
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| |-
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| |''Square root'' ||<nowiki>√</nowiki> || U+221A || <code>&#8730;</code> || <code>%E2%88%9A</code> || <code>&radic;</code>
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| |-
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| |''Cube root'' || <nowiki>∛</nowiki> || U+221B || <code>&#8731;</code> || <code>%E2%88%9B</code> ||
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| |-
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| |''Fourth root'' || <nowiki>∜</nowiki> || U+221C || <code>&#8732;</code> || <code>%E2%88%9C</code> ||
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| |}
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| ===Square roots===
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| [[Image:The graph y = √x.png|thumb|right|The graph y = <math>\pm \sqrt{x}</math>.]]
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| {{Main|Square root}}
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| The '''square root''' of a number ''x'' is that number ''r'' which, when [[square (algebra)|squared]], becomes ''x'':
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| :<math>r^2 = x.\!\,</math>
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| Every positive real number has two square roots, one positive and one negative. For example, the two square roots of 25 are 5 and −5. The positive square root is also known as the '''principal square root''', and is denoted with a radical sign:
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| :<math>\sqrt{25} = 5.\!\,</math>
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| Since the square of every real number is a positive real number, negative numbers do not have real square roots. However, every negative number has two [[imaginary number|imaginary]] square roots. For example, the square roots of −25 are 5''i'' and −5''i'', where ''[[imaginary unit|i]]'' represents a square root of −1.
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| ===Cube roots===
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| [[Image:The graph y = 3√x.png|thumb|right|The graph y = <math>\sqrt[3]{x}</math>.]]
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| {{Main|Cube root}}
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| A '''cube root''' of a number ''x'' is a number ''r'' whose [[cube (algebra)|cube]] is ''x'':
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| :<math>r^3 = x.\!\,</math>
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| Every real number ''x'' has exactly one real cube root, written <math>\sqrt[3]{x}</math>. For example,
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| :<math>\sqrt[3]{8}\,=\,2\quad\text{and}\quad\sqrt[3]{-8}\,= -2.</math>
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| Every real number has two additional [[complex number|complex]] cube roots (see complex roots below).
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| ==Identities and properties==
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| Every [[positive number|positive real number]] has a positive ''n''th root and the rules for operations with such surds are straightforward:
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| :<math>\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b} \,,</math>
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| :<math>\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}} \,.</math>
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| Using the exponent form as in <math>x^{1/n}</math> normally makes it easier to cancel out powers and roots.
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| :<math>\sqrt[n]{a^m} = \left(a^m\right)^{\frac{1}{n}} = a^{\frac{m}{n}}.</math>
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| Problems can occur when taking the ''n''th roots of negative or [[complex number]]s. For instance:
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| :<math>\sqrt{-1}\times\sqrt{-1} = -1</math>
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| whereas
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| :<math>\sqrt{-1 \times -1} = 1</math>
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| when taking the [[principal value]] of the roots. See [[Exponentiation#Failure of power and logarithm identities|failure of power and logarithm identities]] in the exponentiation article for more details.
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| ==Simplified form of a radical expression==
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| A radical expression is said to be in '''simplified form''' if<ref>{{cite book|last=McKeague|first=Charles P.|title=Elementary algebra|page=470|year=2011|url=http://books.google.com/books?id=etTbP0rItQ4C&printsec=frontcover&dq=editions:q0hGn6PkOxsC&hl=sv&ei=52CsTqv9Go7sOZ_tldAP&sa=X&oi=book_result&ct=result&resnum=2&ved=0CDEQ6AEwAQ#v=onepage&q&f=false}}</ref>
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| # There is no factor of the radicand that can be written as a power greater than or equal to the index.
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| # There are no fractions under the radical sign.
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| # There are no radicals in the denominator.
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| For example, to write the radical expression <math>\sqrt{\tfrac{32}{5}}</math> in simplified form, we can proceed as follows. First, look for a perfect square under the square root sign and remove it:
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| :<math>\sqrt{\tfrac{32}{5}} = \sqrt{\tfrac{16 \cdot 2}{5}} = 4 \sqrt{\tfrac{2}{5}}</math>
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| Next, there is a fraction under the radical sign, which we change as follows:
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| :<math>4 \sqrt{\tfrac{2}{5}} = \frac{4 \sqrt{2}}{\sqrt{5}}</math>
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| Finally, we remove the radical from the denominator as follows:
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| :<math>\frac{4 \sqrt{2}}{\sqrt{5}} = \frac{4 \sqrt{2}}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{4 \sqrt{10}}{5}</math>
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| When there is a denominator involving surds it may be possible to find a factor to multiply both numerator and denominator by to simplify the expression. For instance using the [[Factorization#Sum.2Fdifference_of_two_cubes|factorization of the sum of two cubes]]:
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| :<math>\frac{1}{\sqrt[3]{a}+\sqrt[3]{b}} = \frac{\sqrt[3]{a^2}-\sqrt[3]{ab}+\sqrt[3]{b^2}}{(\sqrt[3]{a}+\sqrt[3]{b})(\sqrt[3]{a^2}-\sqrt[3]{ab}+\sqrt[3]{b^2})} = \frac{\sqrt[3]{a^2}-\sqrt[3]{ab}+\sqrt[3]{b^2}}{a+b} \,.</math>
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| Simplifying radical expressions involving [[nested radical]]s can be quite difficult. It is not immediately obvious for instance that:
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| :<math>\sqrt{3+2\sqrt{2}} = 1+\sqrt{2}\,</math>
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| ==Infinite series==
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| The radical or root may be represented by the [[infinite series]]:
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| :<math>
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| (1+x)^{s/t} = \sum_{n=0}^\infty \frac{\prod_{k=0}^{n-1} (s-kt)}{n!t^n}x^n
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| </math>
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| with <math>|x|<1</math>. This expression can be derived from the [[binomial series]].
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| ==Computing principal roots==
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| The ''n''th root of an integer is not always an integer, and if it is not an integer then it is not a rational number. For instance, the fifth root of 34 is
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| :<math> \sqrt[5]{34} = 2.024397458 \ldots, </math>
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| where the dots signify that the decimal expression does not end after any finite number of digits. Since in this example the digits after the decimal never enter a repeating pattern, the number is irrational.
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| The ''n''th root of a number ''A'' can be computed by the [[nth root algorithm|''n''th root algorithm]], a special case of [[Newton's method]]. Start with an initial guess ''x''<sub>0</sub> and then iterate using the recurrence relation
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| :<math>x_{k+1} = \frac{1}{n} \left({(n-1)x_k +\frac{A}{x_k^{n-1}}}\right) </math>
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| until the desired precision is reached.
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| Depending on the application, it may be enough to use only the first Newton approximant:
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| :<math> \sqrt[n]{x^n+y} \approx x + \frac{y}{n x^{n-1}}. </math>
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| For example, to find the fifth root of 34, note that 2<sup>5</sup> = 32 and thus take ''x'' = 2, ''n'' = 5 and ''y'' = 2 in the above formula. This yields
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| :<math> \sqrt[5]{34} = \sqrt[5]{32 + 2} \approx 2 + \frac{2}{5 \cdot 16} = 2.025. </math>
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| The error in the approximation is only about 0.03%.
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| Newton's method can be modified to produce a [[generalized continued fraction#Roots of positive numbers|generalized continued fraction]] for the ''n''th root which can be modified in various ways as described in that article. For example:
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| <math>
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| \sqrt[n]{z} = \sqrt[n]{x^n+y} = x+\cfrac{y} {nx^{n-1}+\cfrac{(n-1)y} {2x+\cfrac{(n+1)y} {3nx^{n-1}+\cfrac{(2n-1)y} {2x+\cfrac{(2n+1)y} {5nx^{n-1}+\cfrac{(3n-1)y} {2x+\ddots}}}}}};
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| </math>
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| <math>
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| \sqrt[n]{z}=x+\cfrac{2x\cdot y}{n(2z - y)-y-\cfrac{(1^2n^2-1)y^2}{3n(2z - y)-\cfrac{(2^2n^2-1)y^2}{5n(2z - y)-\cfrac{(3^2n^2-1)y^2}{7n(2z - y)-\ddots}}}}.
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| </math>
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| In the case of the fifth root of 34 above (after dividing out selected common factors):
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| <math>
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| \sqrt[5]{34} = 2+\cfrac{1} {40+\cfrac{4} {4+\cfrac{6} {120+\cfrac{9} {4+\cfrac{11} {200+\cfrac{14} {4+\ddots}}}}}}
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| =2+\cfrac{4\cdot 1}{165-1-\cfrac{4\cdot 6}{495-\cfrac{9\cdot 11}{825-\cfrac{14\cdot 16}{1155-\ddots}}}}.
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| </math>
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| ==Complex roots==
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| Every [[complex number]] other than 0 has ''n'' different ''n''th roots.
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| ===Square roots===
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| [[Image:Imaginary2Root.svg|thumb|right|The square roots of '''''i''''']]
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| The two square roots of a complex number are always negatives of each other. For example, the square roots of {{math|−4}} are {{math|2''i''}} and {{math|−2''i''}}, and the square roots of {{math|''i''}} are
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| :<math>\tfrac{1}{\sqrt{2}}(1 + i) \quad\text{and}\quad -\tfrac{1}{\sqrt{2}}(1 + i).</math>
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| If we express a complex number in polar form, then the square root can be obtained by taking the square root of the radius and halving the angle:
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| :<math>\sqrt{re^{i\theta}} \,=\, \pm\sqrt{r}\,e^{i\theta/2}.</math>
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| A ''principal'' root of a complex number may be chosen in various ways, for example
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| :<math>\sqrt{re^{i\theta}} \,=\, \sqrt{r}\,e^{i\theta/2}</math>
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| which introduces a [[branch cut]] in the [[complex plane]] along the positive real axis with the condition {{math|0 ≤ ''θ'' < 2π}}, or along the negative real axis with {{math|−π < ''θ'' ≤ π}}.
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| Using the first(last) branch cut the principal square root <math>\scriptstyle \sqrt z</math> maps <math>\scriptstyle z</math> to the half plane with non-negative imaginary(real) part. The last branch cut is presupposed in mathematical software like [[Matlab]] or [[Scilab]].
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| ===Roots of unity===
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| [[File:3rd roots of unity.svg|thumb|right|The three 3rd roots of 1]]
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| {{Main|Root of unity}}
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| The number 1 has ''n'' different ''n''th roots in the complex plane, namely
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| :<math>1,\;\omega,\;\omega^2,\;\ldots,\;\omega^{n-1},</math>
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| where
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| :<math>\omega \,=\, e^{2\pi i/n} \,=\, \cos\left(\frac{2\pi}{n}\right) + i\sin\left(\frac{2\pi}{n}\right)</math>
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| These roots are evenly spaced around the [[unit circle]] in the complex plane, at angles which are multiples of <math>2\pi/n</math>. For example, the square roots of unity are 1 and −1, and the fourth roots of unity are 1, <math>i</math>, −1, and <math>-i</math>.
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| ===''n''th roots===
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| Every complex number has ''n'' different ''n''th roots in the complex plane. These are
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| :<math>\eta,\;\eta\omega,\;\eta\omega^2,\;\ldots,\;\eta\omega^{n-1},</math>
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| where ''η'' is a single ''n''th root, and 1, ''ω'', ''ω''<sup>2</sup>, ... ''ω''<sup>''n''−1</sup> are the ''n''th roots of unity. For example, the four different fourth roots of 2 are
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| :<math>\sqrt[4]{2},\quad i\sqrt[4]{2},\quad -\sqrt[4]{2},\quad\text{and}\quad -i\sqrt[4]{2}.</math>
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| In polar form, a single ''n''th root may be found by the formula
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| :<math>\sqrt[n]{re^{i\theta}} \,=\, \sqrt[n]{r}\,e^{i\theta/n}.</math>
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| Here ''r'' is the magnitude (the modulus, also called the [[absolute value]]) of the number whose root is to be taken; if the number can be written as ''a+bi'' then <math>r=\sqrt{a^2+b^2}</math>. Also, <math>\theta</math> is the angle formed as one pivots on the origin counterclockwise from the positive horizontal axis to a ray going from the origin to the number; it has the properties that <math>\cos \theta = a/r,</math> <math> \sin \theta = b/r,</math> and <math> \tan \theta = b/a.</math>
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| Thus finding ''n''th roots in the complex plane can be segmented into two steps. First, the magnitude of all the ''n''th roots is the ''n''th root of the magnitude of the original number. Second, the direction of a ray from the origin to one of the ''n''th roots involves an angle <math>\theta / n</math> relative to the positive horizontal axis that is {{clarify|date=March 2013}} 1/''n'' times the angle <math>\theta</math> of a ray from the origin to the original number relative to the positive horizontal axis. Furthermore, all ''n'' of the ''n''th roots are at equally spaced angles from each other.
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| As with square roots, the formula above cannot be applied consistently to the entire complex plane, but instead leads to a branch cut at the points where ''θ'' / ''n'' suddenly “jumps”.{{Clarify|date=January 2012}}
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| ==Solving polynomials==
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| It was once believed that all roots of [[polynomial]]s could be expressed in terms of radicals and [[elementary arithmetic|elementary operations]]; however, while this is true for third degree polynomials ([[cubic function|cubics]]) and fourth degree polynomials ([[quartic function|quartics]]), the [[Abel-Ruffini theorem]] (1824) shows that this is not true in general when the degree is 5 or greater. For example, the solutions of the equation
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| :<math>x^5=x+1\,</math>
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| cannot be expressed in terms of radicals. (''cf.'' [[quintic equation]])
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| For solving any equation of the ''n''th degree numerically, to obtain a result that is arbitrarily close to being exact, see [[Root-finding algorithm]].
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| ==See also==
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| * [[Nth root algorithm]]
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| * [[Shifting nth-root algorithm]]
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| * [[Irrational number]]
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| * [[Algebraic number]]
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| * [[Nested radical]]
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| * [[Twelfth root of two]]
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| * [[Super-root]]
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| ==References==
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| {{Reflist}}
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| == External links ==
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| {{Wiktionary|surd}}
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| {{Wiktionary|radical}}
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| [[Category:Elementary algebra]]
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| {{Link GA|uz}}
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| {{Link GA|ru}}
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The Fujifilm Instax mini 8 is actually a fundamental point and shoot cameras that takes fast pics and develops them just like an old-fashioned Polaroid video camera. The analogue video camera appears like a stuffed toy and and is also going to have really serious hipster elegance.
After we dwell in a community where the 35mm cameras wants of Hipstamatic and Instragram reigns superior, the Instax small 8 is more enjoyable way to get that retro visualize appearance.
Available in 5 various colorings (pinkish, whitened, yellow-colored and blue colored black), the Instax small 8 appears like a major youngsters plaything by reviewing the flat plastic conclude, chunky lens and large control keys. Even with its hulking size in comparison to today’s stream-lined cameras, the Instax micro 8 weighs just 307g and its ten percent sleeker than past Instax styles. It’s mild enough to have to a tote with no hassle, though it's not quite bank account-pleasant.
Control buttons and features are fundamental. At the start is really a link to improve the collapsible lens and activate the digital camera. Throughout the lenses may be the lighting change call you are able to perspective to decide on the various exposure quantities. For the fingers proper grip would be the digicam lead to together with the viewfinder over as well as the generally on display just adjacent to it. Surrounding the backside is where you will discover pockets for film and also the power supply over the palm grasp. Without a doubt it does take battery pack, two AA styles to always be highly accurate. It is really an analogue cameras in each way.
Generally this is usually a digital camera with simple concepts; that may help you capture photos while using appropriate degree of brightness. There is 5 diverse visibility degrees from which to choose; Within the house, Night time (F12.7), Gloomy, Tone (F16), Sunny, Slightly gloomy (F22), Sunlit and bright (F32). Additionall, there is a whole new Significant Vital function to shoot pictures with extreme quantities of lighting in addition to a gentler natural environment.
There is no there's and autofocus a photographing selection of .6m to 2.7m, so you need up close. The display carries a reuse time period of .2-6 a few moments and we have a predetermined shutter performance of 1/one minute.
The Instax little 8 only uses Fuji Instax film which comes in packs of 10 and measure 62 by 46mm. That is about how big is a charge card, so these photographs are saved to the tiny dimension. Kits could cost about £15 producing the tiny 8 a expensive purchase in the long term.
To have pictures you simply demand twist the call on the correct coverage stage, peer over the viewfinder and bring your picture. It's so simple as that. Images can take some time to completely grow and benefits is often blended.
There’s no bedroom for fault and when you get it completely wrong, visibility concentrations and colours looks off of. Most detrimental of most, you have misused among those expensive films.
The lack of auto-focus truly will make it difficult to nail the pictures newbie. When you get it right, graphics are impressively thorough and provide the delicate colour effect to create that old, Polaroid-style start looking. It will take a bit more work to photograph excellent landscapes photos or straightforward pictures of items, while using photographs of folks performs in particular properly.
In the several being exposed controls, the Sun-drenched, A bit Cloud mode yields by far the most fulfilling photos. There's decent element from the foreground and backdrop with an above average coloration selection.
Photos within the house usually takes a little bit more perform and it's on this page with the lack of aim genuinely shows. Shades look as well rinsed out and impression clearness is not wonderful, even though the continually-on display might help compensate for reduced-lit up disorders.
Obviously, images are stored on the small facet, but you do get the significant white colored boundary at the bottom in order to warning or depart a message to give it that awesome individual touch.
The Fujifilm Instax mini 8 digital camera quite a bit of fun should you prefer a break up through the megapixels along with the high class of having the ability to empty junk photos into a reuse bin. It's exceptionally user friendly, and you can record some good pics when you find a way to match the proper coverage degrees with the ideal surroundings.
There are its obvious limitations. When you aspect in just how many images you may very well ruin it runs on batteries and the videos training very expensive. The Instax mini 8 camera is usually a amazing, retro-fashioned high-end camera that lovers of Polaroids will cherish, if you can admit that it is about to run you over time and like the idea of needing something is absolutely not about posting photographs to Twitter.
It could also produce a exciting, basic way to present a kid to taking photos.
Verdict
The Fujifilm Instax mini 8 is undoubtedly fujifilm instax mini 90 an instant cameras that is user friendly which is a memory on the weeks prior to cameras. To be able to change the time backside, this is the fantastic classic snapper to do it with, however the video is costly.