Simplify -3 root of -8

$\sqrt[- 3]{- 8}$

Step 1

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

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

Step 2

Rewrite $\sqrt[- 3]{{(- 2)}^{3}}$ as $\sqrt[- 1]{\sqrt[3]{{(- 2)}^{3}}}$ .

$\sqrt[- 1]{\sqrt[3]{{(- 2)}^{3}}}$

Step 3

Pull terms out from under the radical, assuming real numbers.

$\sqrt[- 1]{- 2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[- 1]{- 2}$

Decimal Form:

$- 0.5$