Evaluate cube root of -432

$\sqrt[3]{- 432}$

Step 1

Rewrite $- 432$ as ${(- 6)}^{3} \cdot 2$ .

Factor $- 216$ out of $- 432$ .

$\sqrt[3]{- 216 (2)}$

Rewrite $- 216$ as ${(- 6)}^{3}$ .

$\sqrt[3]{{(- 6)}^{3} \cdot 2}$

$\sqrt[3]{{(- 6)}^{3} \cdot 2}$

Step 2

Pull terms out from under the radical.

$- 6 \sqrt[3]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 6 \sqrt[3]{2}$

Decimal Form:

$- 7.55952629 \dots$

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