Precalculus Examples

$\sqrt[3]{24} \sqrt[3]{18}$

Step 1

Combine using the product rule for radicals.

$\sqrt[3]{24 \cdot 18}$

Step 2

Multiply $24$ by $18$ .

$\sqrt[3]{432}$

Step 3

Rewrite $432$ as $6^{3} \cdot 2$ .

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Step 3.1

Factor $216$ out of $432$ .

$\sqrt[3]{216 (2)}$

Step 3.2

Rewrite $216$ as $6^{3}$ .

$\sqrt[3]{6^{3} \cdot 2}$

$\sqrt[3]{6^{3} \cdot 2}$

Step 4

Pull terms out from under the radical.

$6 \sqrt[3]{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt[3]{2}$

Decimal Form:

$7.55952629 \dots$

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