Algebra Examples

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

Step 1

Combine $\sqrt[3]{81 x}$ and $\sqrt[3]{3}$ into a single radical.

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

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Reduce the expression $\frac{81 x}{3}$ by cancelling the common factors.

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Step 2.1.1

Factor $3$ out of $81 x$ .

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

Step 2.1.2

Factor $3$ out of $3$ .

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

Step 2.1.3

Cancel the common factor.

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

Step 2.1.4

Rewrite the expression.

$\sqrt[3]{\frac{27 x}{1}}$

Step 2.2

Divide $27 x$ by $1$ .

$\sqrt[3]{27 x}$

Step 3

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

$\sqrt[3]{3^{3} x}$

Step 4

Pull terms out from under the radical.

$3 \sqrt[3]{x}$