Simplify the Radical Expression cube root of 6* cube root of 4

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

Combine using the product rule for radicals.

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

Multiply $6$ by $4$ .

$\sqrt[3]{24}$

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

Factor $8$ out of $24$ .

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

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

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

Pull terms out from under the radical.

$2 \sqrt[3]{3}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt[3]{3}$

Decimal Form:

$2.88449914 \dots$