Definition:Absolute Value/Definition 2

Definition
Let $x \in \R$ be a real number.

The absolute value of $x$ is denoted $\left\vert{x}\right\vert$, and is defined as:


 * $\left\vert{x}\right\vert = +\sqrt {x^2}$

where $\sqrt {x^2}$ is the square root of $x^2$.

Also see

 * Equivalence of Definitions of Absolute Value Function