Algebra Examples

$\sqrt[3]{4 x^{2}} \div \sqrt[3]{x}$

Step 1

Rewrite the division as a fraction.

$\frac{\sqrt[3]{4 x^{2}}}{\sqrt[3]{x}}$

Step 2

Combine $\sqrt[3]{4 x^{2}}$ and $\sqrt[3]{x}$ into a single radical.

$\sqrt[3]{\frac{4 x^{2}}{x}}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Reduce the expression $\frac{4 x^{2}}{x}$ by cancelling the common factors.

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Step 3.1.1

Factor $x$ out of $4 x^{2}$ .

$\sqrt[3]{\frac{x (4 x)}{x}}$

Step 3.1.2

Raise $x$ to the power of $1$ .

$\sqrt[3]{\frac{x (4 x)}{x^{1}}}$

Step 3.1.3

Factor $x$ out of $x^{1}$ .

$\sqrt[3]{\frac{x (4 x)}{x \cdot 1}}$

Step 3.1.4

Cancel the common factor.

$\sqrt[3]{\frac{x (4 x)}{x \cdot 1}}$

Step 3.1.5

Rewrite the expression.

$\sqrt[3]{\frac{4 x}{1}}$

Step 3.2

Divide $4 x$ by $1$ .

$\sqrt[3]{4 x}$