Simplify cube root of 125a^3b^12

$\sqrt[3]{125 a^{3} b^{12}}$

Step 1

Rewrite $125 a^{3} b^{12}$ as ${(5 a b^{4})}^{3}$ .

$\sqrt[3]{{(5 a b^{4})}^{3}}$

Step 2

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

$5 a b^{4}$

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