Answer
$\left\{-\sqrt{7},\sqrt{7}\right\}$
Work Step by Step
Taking the square root of both sides (Square Root Property), the given equation, $
p^2=7
,$ is equivalent to
\begin{align*}
p=\pm\sqrt{7}
.\end{align*}
Hence, the solution set of the equation $
p^2=7
$ is $\left\{-\sqrt{7},\sqrt{7}\right\}$.