Basic Math Examples

$15 y^{6} \sqrt{y} + 13 \sqrt{y^{13}}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $y^{13}$ as ${(y^{6})}^{2} y$ .

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Step 1.1.1

Factor out $y^{12}$ .

$15 y^{6} \sqrt{y} + 13 \sqrt{y^{12} y}$

Step 1.1.2

Rewrite $y^{12}$ as ${(y^{6})}^{2}$ .

$15 y^{6} \sqrt{y} + 13 \sqrt{{(y^{6})}^{2} y}$

$15 y^{6} \sqrt{y} + 13 \sqrt{{(y^{6})}^{2} y}$

Step 1.2

Pull terms out from under the radical.

$15 y^{6} \sqrt{y} + 13 y^{6} \sqrt{y}$

$15 y^{6} \sqrt{y} + 13 y^{6} \sqrt{y}$

Step 2

Add $15 y^{6} \sqrt{y}$ and $13 y^{6} \sqrt{y}$ .

$28 y^{6} \sqrt{y}$

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