Evaluate cube root of -72

$\sqrt[3]{- 72}$

Step 1

Rewrite $- 72$ as ${(- 2)}^{3} \cdot 9$ .

Factor $- 8$ out of $- 72$ .

$\sqrt[3]{- 8 (9)}$

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

$\sqrt[3]{{(- 2)}^{3} \cdot 9}$

$\sqrt[3]{{(- 2)}^{3} \cdot 9}$

Step 2

Pull terms out from under the radical.

$- 2 \sqrt[3]{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt[3]{9}$

Decimal Form:

$- 4.16016764 \dots$

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