Algebra Examples

$\sqrt[6]{x^{9}}$

Step 1

Factor out $x^{6}$ .

$\sqrt[6]{x^{6} x^{3}}$

Step 2

Pull terms out from under the radical.

$x \sqrt[6]{x^{3}}$

Step 3

Rewrite $\sqrt[6]{x^{3}}$ as $\sqrt{\sqrt[3]{x^{3}}}$ .

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

Step 4

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

$x \sqrt{x}$