Algebra Examples

$\sqrt{6 x y^{2} \cdot 2}$

Step 1

Multiply $2$ by $6$ .

$\sqrt{12 x y^{2}}$

Step 2

Rewrite $12 x y^{2}$ as ${(2 y)}^{2} \cdot (3 x)$ .

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Step 2.1

Factor $4$ out of $12$ .

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

Step 2.2

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

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

Step 2.3

Move $x$ .

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

Step 2.4

Move $3$ .

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

Step 2.5

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

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

Step 2.6

Add parentheses.

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

Step 3

Pull terms out from under the radical.

$2 y \sqrt{3 x}$