Simplify square root of cube root of 9m^4

$\sqrt{\sqrt[3]{9 m^{4}}}$

Step 1

Rewrite $9 m^{4}$ as $m^{3} \cdot (9 m)$ .

Factor out $m^{3}$ .

$\sqrt{\sqrt[3]{9 (m^{3} m)}}$

Reorder $9$ and $m^{3}$ .

$\sqrt{\sqrt[3]{m^{3} \cdot 9 m}}$

Add parentheses.

$\sqrt{\sqrt[3]{m^{3} \cdot (9 m)}}$

Step 2

Pull terms out from under the radical.

$\sqrt{m \sqrt[3]{9 m}}$