Answer
$2x^3\sqrt{5}$
Work Step by Step
Getting the perfect factors and then extracting its root, the simplified form of the given expression, $
\sqrt{20x^{6}}
,$ is
\begin{array}{l}\require{cancel}
\sqrt{4x^6\cdot5}
\\\\=
\sqrt{(2x^3)^2\cdot5}
\\\\=
2x^3\sqrt{5}
.\end{array}
