Evaluate cube root of -48

$\sqrt[3]{- 48}$

Step 1

Rewrite $- 48$ as ${(- 2)}^{3} \cdot 6$ .

Factor $- 8$ out of $- 48$ .

$\sqrt[3]{- 8 (6)}$

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

$\sqrt[3]{{(- 2)}^{3} \cdot 6}$

$\sqrt[3]{{(- 2)}^{3} \cdot 6}$

Step 2

Pull terms out from under the radical.

$- 2 \sqrt[3]{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt[3]{6}$

Decimal Form:

$- 3.63424118 \dots$

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