Evaluate seventh root of -215

$\sqrt[7]{- 215}$

Step 1

Rewrite $- 215$ as ${(- 1)}^{7} \cdot 215$ .

Rewrite $- 215$ as $- 1 (215)$ .

$\sqrt[7]{- 1 (215)}$

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

$\sqrt[7]{{(- 1)}^{7} \cdot 215}$

Step 2

Pull terms out from under the radical.

$- 1 \sqrt[7]{215}$

Step 3

Rewrite $- 1 \sqrt[7]{215}$ as $- \sqrt[7]{215}$ .

$- \sqrt[7]{215}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sqrt[7]{215}$

Decimal Form:

$- 2.15380060 \dots$