Simplify cube root of 27a^3b^6

$\sqrt[3]{27 a^{3} b^{6}}$

Step 1

Rewrite $27 a^{3} b^{6}$ as ${(3 a b^{2})}^{3}$ .

$\sqrt[3]{{(3 a b^{2})}^{3}}$

Step 2

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

$3 a b^{2}$

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