Answer
$5n^2\sqrt{3n}$.
Work Step by Step
The given expression is
$=\sqrt{75n^5}$
Factor as square terms.
$=\sqrt{25n^4\cdot 3n}$
Use product property of square roots.
$=\sqrt{25n^4}\cdot \sqrt{3n}$
Use $25=5^2$.
$=\sqrt{5^2n^4}\cdot \sqrt{3n}$
Simplify.
$=5n^2\sqrt{3n}$.