Simplify cube root of 80

$\sqrt[3]{80}$

Step 1

Rewrite $80$ as $2^{3} \cdot 10$ .

Factor $8$ out of $80$ .

$\sqrt[3]{8 (10)}$

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

$\sqrt[3]{2^{3} \cdot 10}$

$\sqrt[3]{2^{3} \cdot 10}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[3]{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{10}$

Decimal Form:

$4.30886938 \dots$

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