Evaluate cube root of 384

$\sqrt[3]{384}$

Step 1

Rewrite $384$ as $4^{3} \cdot 6$ .

Factor $64$ out of $384$ .

$\sqrt[3]{64 (6)}$

Rewrite $64$ as $4^{3}$ .

$\sqrt[3]{4^{3} \cdot 6}$

$\sqrt[3]{4^{3} \cdot 6}$

Step 2

Pull terms out from under the radical.

$4 \sqrt[3]{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt[3]{6}$

Decimal Form:

$7.26848237 \dots$

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