: Mathematics: nth root

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nth root

In mathematics, taking the nth root is an operation involving two numbers, the radicand and the index or degree. Taking the nth root is written as ${\\displaystyle {\\sqrt[{n}]{x}}}$ , where $x$ is the radicand and n is the index (also sometimes called the degree). This is pronounced as "the nth root of x". The definition then of an nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x:
${\\displaystyle r^{n}=x.}$
A root of degree 2 is called a square root (usually written without the n as just ${\\displaystyle {\\sqrt {x}}}$ ) and a root of degree 3, a cube root (written ${\\displaystyle {\\sqrt[{3}]{x}}}$ ). Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc. The computation of an $n$ th root is a root extraction.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Nth_root)

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