# How do you solve using the square roots (p+7)^2=15?

Mar 18, 2018

$p = - 7 \pm \sqrt{15}$

#### Explanation:

$\textcolor{b l u e}{\text{take the square root of both sides}}$

$\sqrt{{\left(p + 7\right)}^{2}} = \pm \sqrt{15} \leftarrow \textcolor{b l u e}{\text{note plus or minus}}$

$\Rightarrow p + 7 = \pm \sqrt{15}$

$\text{subtract 7 from both sides}$

$p \cancel{+ 7} \cancel{- 7} = - 7 \pm \sqrt{15}$

$\Rightarrow p = - 7 \pm \sqrt{15}$