Simplify cube root of 108

$\sqrt[3]{108}$

Step 1

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

Factor $27$ out of $108$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$3 \sqrt[3]{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{4}$

Decimal Form:

$4.76220315 \dots$

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