Simplify cube root of 864

$\sqrt[3]{864}$

Step 1

Rewrite $864$ as $6^{3} \cdot 4$ .

Factor $216$ out of $864$ .

$\sqrt[3]{216 (4)}$

Rewrite $216$ as $6^{3}$ .

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

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

Step 2

Pull terms out from under the radical.

$6 \sqrt[3]{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt[3]{4}$

Decimal Form:

$9.52440631 \dots$

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