Simplify the Radical Expression cube root of 3* cube root of -20

$\sqrt[3]{3} \cdot \sqrt[3]{- 20}$

Combine using the product rule for radicals.

$\sqrt[3]{3 \cdot - 20}$

Multiply $3$ by $- 20$ .

$\sqrt[3]{- 60}$

Rewrite $- 60$ as ${(- 1)}^{3} \cdot 60$ .

Rewrite $- 60$ as $- 1 (60)$ .

$\sqrt[3]{- 1 (60)}$

Rewrite $- 1$ as ${(- 1)}^{3}$ .

$\sqrt[3]{{(- 1)}^{3} \cdot 60}$

Pull terms out from under the radical.

$- 1 \sqrt[3]{60}$

Rewrite $- 1 \sqrt[3]{60}$ as $- \sqrt[3]{60}$ .

$- \sqrt[3]{60}$

The result can be shown in multiple forms.

Exact Form:

$- \sqrt[3]{60}$

Decimal Form:

$- 3.91486764 \dots$