Basic Math Examples

$\sqrt{9 y} + \sqrt{64 y^{3}}$

Step 1

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} y} + \sqrt{64 y^{3}}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{y} + \sqrt{64 y^{3}}$

Step 3

Rewrite $64 y^{3}$ as ${(8 y)}^{2} y$ .

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Step 3.1

Rewrite $64$ as $8^{2}$ .

$3 \sqrt{y} + \sqrt{8^{2} y^{3}}$

Step 3.2

Factor out $y^{2}$ .

$3 \sqrt{y} + \sqrt{8^{2} (y^{2} y)}$

Step 3.3

Rewrite $8^{2} y^{2}$ as ${(8 y)}^{2}$ .

$3 \sqrt{y} + \sqrt{{(8 y)}^{2} y}$

$3 \sqrt{y} + \sqrt{{(8 y)}^{2} y}$

Step 4

Pull terms out from under the radical.

$3 \sqrt{y} + 8 y \sqrt{y}$

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