Simplify the Radical Expression eighth root of x^8y^4z^4

$\sqrt[8]{x^{8} y^{4} z^{4}}$

Step 1

Add parentheses.

$\sqrt[8]{x^{8} (y^{4} z^{4})}$

Step 2

Pull terms out from under the radical.

$| x | \sqrt[8]{y^{4} z^{4}}$

Step 3

Rewrite $y^{4} z^{4}$ as ${(y z)}^{4}$ .

$| x | \sqrt[8]{{(y z)}^{4}}$

Step 4

Rewrite $\sqrt[8]{{(y z)}^{4}}$ as $\sqrt{\sqrt[4]{{(y z)}^{4}}}$ .

$| x | \sqrt{\sqrt[4]{{(y z)}^{4}}}$

Step 5

Pull terms out from under the radical.

$| x | \sqrt{| y z |}$