Algebra Examples

$\sqrt[3]{3} \cdot \sqrt[3]{- 20}$

Step 1

Combine using the product rule for radicals.

$\sqrt[3]{3 \cdot - 20}$

Step 2

Multiply $3$ by $- 20$ .

$\sqrt[3]{- 60}$

Step 3

Rewrite $- 60$ as ${(- 1)}^{3} \cdot 60$ .

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Step 3.1

Rewrite $- 60$ as $- 1 (60)$ .

$\sqrt[3]{- 1 (60)}$

Step 3.2

Rewrite $- 1$ as ${(- 1)}^{3}$ .

$\sqrt[3]{{(- 1)}^{3} \cdot 60}$

$\sqrt[3]{{(- 1)}^{3} \cdot 60}$

Step 4

Pull terms out from under the radical.

$- 1 \sqrt[3]{60}$

Step 5

Rewrite $- 1 \sqrt[3]{60}$ as $- \sqrt[3]{60}$ .

$- \sqrt[3]{60}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \sqrt[3]{60}$

Decimal Form:

$- 3.91486764 \dots$

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