Simplify square root of m^3n^2

$\sqrt{m^{3} n^{2}}$

Step 1

Rewrite $m^{3} n^{2}$ as ${(m n)}^{2} m$ .

Factor out $m^{2}$ .

$\sqrt{m^{2} m n^{2}}$

Move $m$ .

$\sqrt{m^{2} n^{2} m}$

Rewrite $m^{2} n^{2}$ as ${(m n)}^{2}$ .

$\sqrt{{(m n)}^{2} m}$

Step 2

Pull terms out from under the radical.

$m n \sqrt{m}$