Algebra Examples

$\frac{1}{3} \sqrt[3]{81}$

Step 1

Rewrite $81$ as $3^{3} \cdot 3$ .

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Step 1.1

Factor $27$ out of $81$ .

$\frac{1}{3} \cdot \sqrt[3]{27 (3)}$

Step 1.2

Rewrite $27$ as $3^{3}$ .

$\frac{1}{3} \cdot \sqrt[3]{3^{3} \cdot 3}$

$\frac{1}{3} \cdot \sqrt[3]{3^{3} \cdot 3}$

Step 2

Pull terms out from under the radical.

$\frac{1}{3} \cdot (3 \sqrt[3]{3})$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $3 \sqrt[3]{3}$ .

$\frac{1}{3} \cdot (3 (\sqrt[3]{3}))$

Step 3.2

Cancel the common factor.

$\frac{1}{3} \cdot (3 \sqrt[3]{3})$

Step 3.3

Rewrite the expression.

$\sqrt[3]{3}$

$\sqrt[3]{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{3}$

Decimal Form:

$1.44224957 \dots$

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