Simplify square root of m^7

$\sqrt{m^{7}}$

Step 1

Rewrite $m^{7}$ as ${(m^{3})}^{2} m$ .

Factor out $m^{6}$ .

$\sqrt{m^{6} m}$

Rewrite $m^{6}$ as ${(m^{3})}^{2}$ .

$\sqrt{{(m^{3})}^{2} m}$

Step 2

Pull terms out from under the radical.

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