Simplify the Radical Expression 3 cube root of 108

$3 \sqrt[3]{108}$

Rewrite $108$ as $3^{3} \cdot 4$ .

Factor $27$ out of $108$ .

$3 \sqrt[3]{27 (4)}$

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

$3 \sqrt[3]{3^{3} \cdot 4}$

Pull terms out from under the radical.

$3 (3 \sqrt[3]{4})$

Multiply $3$ by $3$ .

$9 \sqrt[3]{4}$

The result can be shown in multiple forms.

Exact Form:

$9 \sqrt[3]{4}$

Decimal Form:

$14.28660946 \dots$