#### Answer

$x=\pm5\sqrt{2}$

#### Work Step by Step

Since $x^2=a$ implies $x=\pm\sqrt{a}$ (the Square Root Property), then the solutions of the given equation, $
x^2=50
,$ are
\begin{array}{l}\require{cancel}
x=\pm\sqrt{50}
\\\\
x=\pm\sqrt{25\cdot2}
\\\\
x=\pm\sqrt{(5)^2\cdot2}
\\\\
x=\pm5\sqrt{2}
.\end{array}