Category:Definitions/Fifth Roots

This category contains definitions related to Fifth Roots.
Related results can be found in Category:Fifth Roots.

Let $x \in \R_{\ge 0}$ be a positive real number.

The fifth root of $x$ is the real number defined as:

$x^{\paren {1 / 5} } := \set {y \in \R: y^5 = x}$

where $x^{\paren {1 / 5} }$ is the $5$th root of $x$.

The notation:

$y = \sqrt [5] x$

is usually encountered.