Pre-Algebra Examples

$\sqrt[6]{125 x^{3}}$

Step 1

Rewrite $125 x^{3}$ as ${(5 x)}^{3}$ .

$\sqrt[6]{{(5 x)}^{3}}$

Step 2

Rewrite $\sqrt[6]{{(5 x)}^{3}}$ as $\sqrt{\sqrt[3]{{(5 x)}^{3}}}$ .

$\sqrt{\sqrt[3]{{(5 x)}^{3}}}$

Step 3

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

$\sqrt{5 x}$