Answer
$10\sqrt{2}$
Work Step by Step
Getting the factor that is a perfect root of the index, the given expression, $
\sqrt{200}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{100\cdot2}
\\\\=
\sqrt{(10)^2\cdot2}
\\\\=
10\sqrt{2}
.\end{array}
