Answer
$4xy\sqrt{3x}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt{48x^3y^2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{16x^2y^2\cdot3x}
\\\\=
\sqrt{(4xy)^2\cdot3x}
\\\\=
4xy\sqrt{3x}
.\end{array}
Note that all variables are assumed to have positive values.
