Evaluate cube root of 4* cube root of 6

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

Step 1

Combine using the product rule for radicals.

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

Step 2

Multiply $4$ by $6$ .

$\sqrt[3]{24}$

Step 3

Rewrite $24$ as $2^{3} \cdot 3$ .

Factor $8$ out of $24$ .

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

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

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

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

Step 4

Pull terms out from under the radical.

$2 \sqrt[3]{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{3}$

Decimal Form:

$2.88449914 \dots$

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