Simplify the Radical Expression fourth root of 36w^6

$\sqrt[4]{36 w^{6}}$

Rewrite $36 w^{6}$ as $w^{4} \cdot (36 w^{2})$ .

Factor out $w^{4}$ .

$\sqrt[4]{36 (w^{4} w^{2})}$

Reorder $36$ and $w^{4}$ .

$\sqrt[4]{w^{4} \cdot 36 w^{2}}$

Add parentheses.

$\sqrt[4]{w^{4} \cdot (36 w^{2})}$

Pull terms out from under the radical.

$| w | \sqrt[4]{36 w^{2}}$

Rewrite $36 w^{2}$ as ${(6 w)}^{2}$ .

$| w | \sqrt[4]{{(6 w)}^{2}}$

Rewrite $\sqrt[4]{{(6 w)}^{2}}$ as $\sqrt{\sqrt{{(6 w)}^{2}}}$ .

$| w | \sqrt{\sqrt{{(6 w)}^{2}}}$

Pull terms out from under the radical.

$| w | \sqrt{| 6 w |}$

Remove non-negative terms from the absolute value.

$| w | \sqrt{6 | w |}$