Simplify 12 cube root of 2(-4)

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

Multiply $2$ by $- 4$ .

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

Rewrite $- 8$ as ${(- 2)}^{3}$ .

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

Multiply.

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

$12 \cdot - 2$

Multiply $12$ by $- 2$ .

$- 24$