Evaluate - cube root of 24- cube root of 24

$- \sqrt[3]{24} - \sqrt[3]{24}$

Step 1

Simplify each term.

Rewrite $24$ as $2^{3} \cdot 3$ .

Factor $8$ out of $24$ .

$- \sqrt[3]{8 (3)} - \sqrt[3]{24}$

Rewrite $8$ as $2^{3}$ .

$- \sqrt[3]{2^{3} \cdot 3} - \sqrt[3]{24}$

$- \sqrt[3]{2^{3} \cdot 3} - \sqrt[3]{24}$

Pull terms out from under the radical.

$- (2 \sqrt[3]{3}) - \sqrt[3]{24}$

Multiply $2$ by $- 1$ .

$- 2 \sqrt[3]{3} - \sqrt[3]{24}$

Rewrite $24$ as $2^{3} \cdot 3$ .

Factor $8$ out of $24$ .

$- 2 \sqrt[3]{3} - \sqrt[3]{8 (3)}$

Rewrite $8$ as $2^{3}$ .

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

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

Pull terms out from under the radical.

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

Multiply $2$ by $- 1$ .

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

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

Step 2

Subtract $2 \sqrt[3]{3}$ from $- 2 \sqrt[3]{3}$ .

$- 4 \sqrt[3]{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 4 \sqrt[3]{3}$

Decimal Form:

$- 5.76899828 \dots$

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