Definition:Fifth Root/Real

Definition
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.