Simplify cube root of 3* cube root of 9

$\sqrt[3]{3} \cdot \sqrt[3]{9}$

Step 1

Combine using the product rule for radicals.

$\sqrt[3]{3 \cdot 9}$

Step 2

Write the expression using exponents.

Multiply $3$ by $9$ .

$\sqrt[3]{27}$

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

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

Step 3

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

$3$