Evaluate cube root of -250

$\sqrt[3]{- 250}$

Step 1

Rewrite $- 250$ as ${(- 5)}^{3} \cdot 2$ .

Factor $- 125$ out of $- 250$ .

$\sqrt[3]{- 125 (2)}$

Rewrite $- 125$ as ${(- 5)}^{3}$ .

$\sqrt[3]{{(- 5)}^{3} \cdot 2}$

$\sqrt[3]{{(- 5)}^{3} \cdot 2}$

Step 2

Pull terms out from under the radical.

$- 5 \sqrt[3]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 5 \sqrt[3]{2}$

Decimal Form:

$- 6.29960524 \dots$

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