Simplify cube root of -16

$\sqrt[3]{- 16}$

Step 1

Rewrite $- 16$ as ${(- 2)}^{3} \cdot 2$ .

Factor $- 8$ out of $- 16$ .

$\sqrt[3]{- 8 (2)}$

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

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

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

Step 2

Pull terms out from under the radical.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 2.51984209 \dots$

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