Evaluate cube root of -7

$\sqrt[3]{- 7}$

Step 1

Rewrite $- 7$ as ${(- 1)}^{3} \cdot 7$ .

Rewrite $- 7$ as $- 1 (7)$ .

$\sqrt[3]{- 1 (7)}$

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

$\sqrt[3]{{(- 1)}^{3} \cdot 7}$

$\sqrt[3]{{(- 1)}^{3} \cdot 7}$

Step 2

Pull terms out from under the radical.

$- 1 \sqrt[3]{7}$

Step 3

Rewrite $- 1 \sqrt[3]{7}$ as $- \sqrt[3]{7}$ .

$- \sqrt[3]{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sqrt[3]{7}$

Decimal Form:

$- 1.91293118 \dots$

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