Answer
$2xy\sqrt[3]{7y^2}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[3]{56x^3y^5}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{8x^3y^3\cdot7y^2}
\\\\=
\sqrt[3]{(2xy)^3\cdot7y^2}
\\\\=
2xy\sqrt[3]{7y^2}
.\end{array}
Note that all of the variables are assumed to represent non-negative real numbers.