Simplify cube root of 81a

$\sqrt[3]{81 a}$

Step 1

Rewrite $81 a$ as $3^{3} \cdot (3 a)$ .

Factor $27$ out of $81$ .

$\sqrt[3]{27 (3) a}$

Rewrite $27$ as $3^{3}$ .

$\sqrt[3]{3^{3} \cdot 3 a}$

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

$3 \sqrt[3]{3 a}$

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