Algebra Examples

$32 \sqrt[3]{18 y} \div 8 \sqrt[3]{3 y}$

Step 1

Rewrite the division as a fraction.

$\frac{32 \sqrt[3]{18 y}}{8 \sqrt[3]{3 y}}$

Step 2

Cancel the common factor of $32$ and $8$ .

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Step 2.1

Factor $8$ out of $32 \sqrt[3]{18 y}$ .

$\frac{8 (4 \sqrt[3]{18 y})}{8 \sqrt[3]{3 y}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $8$ out of $8 \sqrt[3]{3 y}$ .

$\frac{8 (4 \sqrt[3]{18 y})}{8 (\sqrt[3]{3 y})}$

Step 2.2.2

Cancel the common factor.

$\frac{8 (4 \sqrt[3]{18 y})}{8 \sqrt[3]{3 y}}$

Step 2.2.3

Rewrite the expression.

$\frac{4 \sqrt[3]{18 y}}{\sqrt[3]{3 y}}$

Step 3

Combine $\sqrt[3]{18 y}$ and $\sqrt[3]{3 y}$ into a single radical.

$4 \sqrt[3]{\frac{18 y}{3 y}}$

Step 4

Reduce the expression $\frac{18 y}{3 y}$ by cancelling the common factors.

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Step 4.1

Factor $3$ out of $18 y$ .

$4 \sqrt[3]{\frac{3 (6 y)}{3 y}}$

Step 4.2

Factor $3$ out of $3 y$ .

$4 \sqrt[3]{\frac{3 (6 y)}{3 (y)}}$

Step 4.3

Cancel the common factor.

$4 \sqrt[3]{\frac{3 (6 y)}{3 y}}$

Step 4.4

Rewrite the expression.

$4 \sqrt[3]{\frac{6 y}{y}}$

Step 5

Cancel the common factor of $y$ .

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Step 5.1

Cancel the common factor.

$4 \sqrt[3]{\frac{6 y}{y}}$

Step 5.2

Divide $6$ by $1$ .

$4 \sqrt[3]{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt[3]{6}$

Decimal Form:

$7.26848237 \dots$