# What is the absolute value of Square root 2?

$| \sqrt{2} | = \sqrt{2} \approx 1.414214$
$\sqrt{2} \approx 1.414214$ and it is a positive value, so the absolute value applied to $\sqrt{2}$ basically keep it unchanged.
$| f \left(x\right) | = \left\{\begin{matrix}f \left(x\right) \text{ if f(x)">="0" \\ -f(x) " if f(x)<0}\end{matrix}\right.$