Simplify 12 root of x^8

$\sqrt[12]{x^{8}}$

Step 1

Rewrite $x^{8}$ as ${(x^{2})}^{4}$ .

$\sqrt[12]{{(x^{2})}^{4}}$

Step 2

Rewrite $\sqrt[12]{{(x^{2})}^{4}}$ as $\sqrt[3]{\sqrt[4]{{(x^{2})}^{4}}}$ .

$\sqrt[3]{\sqrt[4]{{(x^{2})}^{4}}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt[3]{x^{2}}$