Definition:Cube Root/Real

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

The cube roots of $x$ is the real number defined as:
 * $x^{\left({1 / 3}\right)} := \left\{{y \in \R: y^3 = x}\right\}$

where $x^{\left({1 / 3}\right)}$ is the $3$rd root of $x$.

The notation:
 * $y = \sqrt [3] x$

is usually encountered.