#### Answer

$x=\pm3\sqrt{6}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To solve the given equation, $
x^2=54
,$ 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{54}
.\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{9\cdot6}
\\\\
x=\pm\sqrt{(3)^2\cdot6}
\\\\
x=\pm3\sqrt{6}
.\end{array}