Evaluate cube root of 72

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Algebra

$\sqrt[3]{72}$

Rewrite $72$ as $2^{3} \cdot 9$ .

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Factor $8$ out of $72$ .

$\sqrt[3]{8 (9)}$

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} \cdot 9}$

Pull terms out from under the radical.

$2 \sqrt[3]{9}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{9}$

Decimal Form:

$4.16016764 \dots$

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