Evaluate cube root of 81- cube root of 24 - Math solver

Math

$\sqrt[3]{81} - \sqrt[3]{24}$

Simplify each term.

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Rewrite $81$ as $3^{3} \cdot 3$ .

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Factor $27$ out of $81$ .

$\sqrt[3]{27 (3)} - \sqrt[3]{24}$

Rewrite $27$ as $3^{3}$ .

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

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

Pull terms out from under the radical.

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

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

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Factor $8$ out of $24$ .

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

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

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

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

Pull terms out from under the radical.

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

Multiply $2$ by $- 1$ .

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

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

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

$\sqrt[3]{3}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{3}$

Decimal Form:

$1.44224957 \dots$

Evaluate cube root of 81- cube root of 24

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