Answer
$12x\sqrt[]{3}$
Work Step by Step
Using the properties of radicals, the given expression, $
3\sqrt[]{48x^2}
,$ simplifies to
\begin{array}{l}\require{cancel}
3\sqrt[]{16x^2\cdot3}
\\\\=
3\sqrt[]{(4x)^2\cdot3}
\\\\=
3\cdot4x\sqrt[]{3}
\\\\=
12x\sqrt[]{3}
.\end{array}
Note that all of the variables are assumed to represent non-negative real numbers.
