# How do you solve x^2 = 72?

May 8, 2018

$x = \pm 6 \sqrt{2}$
$\textcolor{b l u e}{\text{take the square root of both sides}}$
$\sqrt{{x}^{2}} = \pm \sqrt{72} \leftarrow \textcolor{b l u e}{\text{note plus or minus}}$
$\Rightarrow x = \pm \sqrt{72} = \pm \sqrt{36 \times 2} = \pm 6 \sqrt{2}$