Answer
$5\sqrt[4]{2}$
Work Step by Step
Getting the factor that is a perfect root of the index, the given expression, $
\sqrt[4]{1250}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[4]{625\cdot2}
\\\\=
\sqrt[4]{(5)^4\cdot2}
\\\\=
5\sqrt[4]{2}
.\end{array}
