Algebra Examples

$7 \sqrt[3]{2} - \sqrt[3]{128}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $128$ as $4^{3} \cdot 2$ .

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Step 1.1.1

Factor $64$ out of $128$ .

$7 \sqrt[3]{2} - \sqrt[3]{64 (2)}$

Step 1.1.2

Rewrite $64$ as $4^{3}$ .

$7 \sqrt[3]{2} - \sqrt[3]{4^{3} \cdot 2}$

$7 \sqrt[3]{2} - \sqrt[3]{4^{3} \cdot 2}$

Step 1.2

Pull terms out from under the radical.

$7 \sqrt[3]{2} - (4 \sqrt[3]{2})$

Step 1.3

Multiply $4$ by $- 1$ .

$7 \sqrt[3]{2} - 4 \sqrt[3]{2}$

$7 \sqrt[3]{2} - 4 \sqrt[3]{2}$

Step 2

Subtract $4 \sqrt[3]{2}$ from $7 \sqrt[3]{2}$ .

$3 \sqrt[3]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{2}$

Decimal Form:

$3.77976314 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$