Algebra Examples

$- 4 \sqrt[3]{2} \cdot 3 \sqrt[3]{4}$

Step 1

Multiply $- 4 \sqrt[3]{2} (3 \sqrt[3]{4})$ .

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Step 1.1

Multiply $3$ by $- 4$ .

$- 12 \sqrt[3]{2} \sqrt[3]{4}$

Step 1.2

Combine using the product rule for radicals.

$- 12 \sqrt[3]{4 \cdot 2}$

Step 1.3

Multiply $4$ by $2$ .

$- 12 \sqrt[3]{8}$

Step 2

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

$- 12 \sqrt[3]{2^{3}}$

Step 3

Pull terms out from under the radical, assuming real numbers.

$- 12 \cdot 2$

Step 4

Multiply $- 12$ by $2$ .

$- 24$