Simplify cube root of 125x^3y^2

$\sqrt[3]{125 x^{3} y^{2}}$

Step 1

Rewrite $125 x^{3} y^{2}$ as ${(5 x)}^{3} y^{2}$ .

Rewrite $125$ as $5^{3}$ .

$\sqrt[3]{5^{3} x^{3} y^{2}}$

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

$\sqrt[3]{{(5 x)}^{3} y^{2}}$

Step 2

Pull terms out from under the radical.

$5 x \sqrt[3]{y^{2}}$