Simplify cube root of -192

$\sqrt[3]{- 192}$

Step 1

Rewrite $- 192$ as ${(- 4)}^{3} \cdot 3$ .

Factor $- 64$ out of $- 192$ .

$\sqrt[3]{- 64 (3)}$

Rewrite $- 64$ as ${(- 4)}^{3}$ .

$\sqrt[3]{{(- 4)}^{3} \cdot 3}$

$\sqrt[3]{{(- 4)}^{3} \cdot 3}$

Step 2

Pull terms out from under the radical.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 5.76899828 \dots$

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