Simplify cube root of 27* cube root of 2

$\sqrt[3]{27} \cdot \sqrt[3]{2}$

Step 1

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

$\sqrt[3]{3^{3}} \cdot \sqrt[3]{2}$

Step 2

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

$3 \sqrt[3]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{2}$

Decimal Form:

$3.77976314 \dots$