Evaluate cube root of 4* cube root of 80

$\sqrt[3]{4} \cdot \sqrt[3]{80}$

Step 1

Combine using the product rule for radicals.

$\sqrt[3]{4 \cdot 80}$

Step 2

Multiply $4$ by $80$ .

$\sqrt[3]{320}$

Step 3

Rewrite $320$ as $4^{3} \cdot 5$ .

Factor $64$ out of $320$ .

$\sqrt[3]{64 (5)}$

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

$\sqrt[3]{4^{3} \cdot 5}$

$\sqrt[3]{4^{3} \cdot 5}$

Step 4

Pull terms out from under the radical.

$4 \sqrt[3]{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt[3]{5}$

Decimal Form:

$6.83990378 \dots$

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