Answer
$2x\sqrt{5x}$
Work Step by Step
Using $\sqrt{x}\cdot\sqrt{y}=\sqrt{xy}$ or the product rule of radicals, the given expression, $
\sqrt{2x^2}\cdot\sqrt{10x}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt{2x^2(10x)}
\\\\=
\sqrt{20x^3}
\\\\=
\sqrt{4x^2\cdot5x}
\\\\=
\sqrt{(2x)^2\cdot5x}
\\\\=
2x\sqrt{5x}
.\end{array}
Note that variables are assumed to have positive real numbers.
