Category:Definitions/Cube Roots

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

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

The cube roots of $x$ is the real number defined as:

$x^{\paren {1 / 3} } := \set {y \in \R: y^3 = x}$

where $x^{\paren {1 / 3} }$ is the $3$rd root of $x$.

The notation:

$y = \sqrt [3] x$

is usually encountered.