Evaluate cube root of 448

$\sqrt[3]{448}$

Rewrite $448$ as $4^{3} \cdot 7$ .

Factor $64$ out of $448$ .

$\sqrt[3]{64 (7)}$

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

$\sqrt[3]{4^{3} \cdot 7}$

$\sqrt[3]{4^{3} \cdot 7}$

Pull terms out from under the radical.

$4 \sqrt[3]{7}$

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt[3]{7}$

Decimal Form:

$7.65172473 \dots$

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