Answer
$5y^2\sqrt{2x}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt{50xy^4}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{25y^4\cdot2x}
\\\\=
\sqrt{(5y^2)^2\cdot2x}
\\\\=
5y^2\sqrt{2x}
.\end{array}
Note that all variables are assumed to have positive values.
