Finite Math Examples

$\sqrt{8 w^{3} y^{3}}$

Step 1

Rewrite $8 w^{3} y^{3}$ as ${(2 w y)}^{2} \cdot (2 w y)$ .

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Step 1.1

Factor $4$ out of $8$ .

$\sqrt{4 (2) w^{3} y^{3}}$

Step 1.2

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 2 w^{3} y^{3}}$

Step 1.3

Factor out $w^{2}$ .

$\sqrt{2^{2} \cdot 2 (w^{2} w) y^{3}}$

Step 1.4

Factor out $y^{2}$ .

$\sqrt{2^{2} \cdot 2 (w^{2} w) (y^{2} y)}$

Step 1.5

Move $w$ .

$\sqrt{2^{2} \cdot 2 (w^{2}) y^{2} w y}$

Step 1.6

Move $2$ .

$\sqrt{(2^{2} (w^{2})) y^{2} \cdot 2 w y}$

Step 1.7

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

$\sqrt{{(2 w y)}^{2} \cdot 2 w y}$

Step 1.8

Add parentheses.

$\sqrt{{(2 w y)}^{2} \cdot 2 (w y)}$

Step 1.9

Add parentheses.

$\sqrt{{(2 w y)}^{2} \cdot (2 w y)}$

Step 2

Pull terms out from under the radical.

$2 w y \sqrt{2 w y}$