Answer
$x=\pm4\sqrt{2}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
x^2=32
,$ take the square root of both sides (Square Root Property). Then simplify the resulting radical.
$\bf{\text{Solution Details:}}$
Taking the square root of both sides (Square Root Property), the equation above is equivalent to
\begin{array}{l}\require{cancel}
x=\pm\sqrt{32}
.\end{array}
Writing the radicand as an expression that contains a factor that is a perfect power of the index and then extracting the root of that factor result to
\begin{array}{l}\require{cancel}
x=\pm\sqrt{16\cdot2}
\\\\
x=\pm\sqrt{(4)^2\cdot2}
\\\\
x=\pm4\sqrt{2}
.\end{array}
