Simplify 6 cube root of -2

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

Step 1

Rewrite $- 2$ as ${(- 1)}^{3} \cdot 2$ .

Rewrite $- 2$ as $- 1 (2)$ .

$6 \sqrt[3]{- 1 (2)}$

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

$6 \sqrt[3]{{(- 1)}^{3} \cdot 2}$

$6 \sqrt[3]{{(- 1)}^{3} \cdot 2}$

Step 2

Pull terms out from under the radical.

$6 (- 1 \sqrt[3]{2})$

Step 3

Simplify the expression.

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

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

Multiply $- 1$ by $6$ .

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

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 7.55952629 \dots$

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