Answer
$2x\sqrt[]{7xy}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[]{28x^3y}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[]{4x^2\cdot7xy}
\\\\=
\sqrt[]{(2x)^2\cdot7xy}
\\\\=
2x\sqrt[]{7xy}
.\end{array}
Note that all of the variables are assumed to represent non-negative real numbers.