Algebra Examples

$\sqrt[10]{x^{15}}$

Step 1

Factor out $x^{10}$ .

$\sqrt[10]{x^{10} x^{5}}$

Step 2

Pull terms out from under the radical.

$x \sqrt[10]{x^{5}}$

Step 3

Rewrite $\sqrt[10]{x^{5}}$ as $\sqrt{\sqrt[5]{x^{5}}}$ .

$x \sqrt{\sqrt[5]{x^{5}}}$

Step 4

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

$x \sqrt{x}$