Algebra Examples

$7 \sqrt[3]{3} + 2 \sqrt[3]{192}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $192$ as $4^{3} \cdot 3$ .

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Step 1.1.1

Factor $64$ out of $192$ .

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

Step 1.1.2

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

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

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

Step 1.2

Pull terms out from under the radical.

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

Step 1.3

Multiply $4$ by $2$ .

$7 \sqrt[3]{3} + 8 \sqrt[3]{3}$

$7 \sqrt[3]{3} + 8 \sqrt[3]{3}$

Step 2

Add $7 \sqrt[3]{3}$ and $8 \sqrt[3]{3}$ .

$15 \sqrt[3]{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$15 \sqrt[3]{3}$

Decimal Form:

$21.63374355 \dots$

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