Answer
$6|x|$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of radicals to simplify the given expression, $
\sqrt[]{36x^2}
.$
$\bf{\text{Solution Details:}}$
Using $\sqrt[n]{x^n}=|x|$ if $n$ is even and $\sqrt[n]{x^n}=x$ if $n$ is odd, then
\begin{array}{l}\require{cancel}
\sqrt[]{36x^2}
\\\\=
\sqrt[]{(6x)^2}
\\\\=
|6x|
\\\\=
|6|\cdot|x|
\\\\=
6|x|
.\end{array}
