Answer
$12\sqrt{2}$
Work Step by Step
Extracting the factor that is a perfect root of the radical, the given expression, $
\sqrt{288}
$, is equivalent to
\begin{align*}
&
\sqrt{144\cdot2}
\\&=
\sqrt{144}\cdot\sqrt{2}
\\&=
12\sqrt{2}
.\end{align*}
Hence, the expression $
\sqrt{288}
$ simplifies to $
12\sqrt{2}
$.
