Answer
$\color{blue}{2m^3n^2\sqrt{6n}}$
Work Step by Step
Factor the radicand so that at least one factor is a perfect square to obtain:
$=\sqrt{4(6)(m^6)(n^4)(n)}
\\=\sqrt{(4m^6n^4)(6n)}
\\=\sqrt{2^2(m^3)^2(n^2)^2(6n)}$
Bring out the square root of the perfect square factors to obtain:
$=2\cdot m^3\cdot n^2\sqrt{6n}
\\=\color{blue}{2m^3n^2\sqrt{6n}}$
