Category:Definitions/Roots of Numbers

This category contains definitions related to $r$th roots of numbers.
Related results can be found in Category:Roots of Numbers.

Let $x, y \in \R_{\ge 0}$ be positive real numbers.

Let $n \in \Z$ be an integer such that $n \ne 0$.

Then $y$ is the positive $n$th root of $x$ if and only if:

$y^n = x$

and we write:

$y = \sqrt[n] x$

Using the power notation, this can also be written:

$y = x^{1/n}$