Basic Math Examples

$\frac{3 y \cdot \sqrt[3]{a} \cdot \sqrt[3]{y}}{y} + \sqrt[3]{a} \sqrt[3]{y}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $y$ .

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Step 1.1.1

Cancel the common factor.

$\frac{3 y \cdot \sqrt[3]{a} \cdot \sqrt[3]{y}}{y} + \sqrt[3]{a} \sqrt[3]{y}$

Step 1.1.2

Divide $3 \cdot \sqrt[3]{a} \cdot \sqrt[3]{y}$ by $1$ .

$3 \cdot \sqrt[3]{a} \cdot \sqrt[3]{y} + \sqrt[3]{a} \sqrt[3]{y}$

Step 1.2

Combine using the product rule for radicals.

$3 \sqrt[3]{y a} + \sqrt[3]{a} \sqrt[3]{y}$

Step 1.3

Combine using the product rule for radicals.

$3 \sqrt[3]{y a} + \sqrt[3]{a y}$

Step 2

Add $3 \sqrt[3]{y a}$ and $\sqrt[3]{a y}$ .

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Step 2.1

Reorder $y$ and $a$ .

$3 \sqrt[3]{a y} + \sqrt[3]{a y}$

Step 2.2

Add $3 \sqrt[3]{a y}$ and $\sqrt[3]{a y}$ .

$4 \sqrt[3]{a y}$