Algebra Examples

$\sqrt[3]{3} + \sqrt[3]{24} + 16$

Step 1

Simplify each term.

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Step 1.1

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

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Step 1.1.1

Factor $8$ out of $24$ .

$\sqrt[3]{3} + \sqrt[3]{8 (3)} + 16$

Step 1.1.2

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

$\sqrt[3]{3} + \sqrt[3]{2^{3} \cdot 3} + 16$

$\sqrt[3]{3} + \sqrt[3]{2^{3} \cdot 3} + 16$

Step 1.2

Pull terms out from under the radical.

$\sqrt[3]{3} + 2 \sqrt[3]{3} + 16$

$\sqrt[3]{3} + 2 \sqrt[3]{3} + 16$

Step 2

Add $\sqrt[3]{3}$ and $2 \sqrt[3]{3}$ .

$3 \sqrt[3]{3} + 16$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt[3]{3} + 16$

Decimal Form:

$20.32674871 \dots$

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