Algebra Examples

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

Step 1

Rewrite $6 x y^{2}$ as $y^{2} \cdot (6 x)$ .

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Step 1.1

Move $x$ .

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

Step 1.2

Reorder $6$ and $y^{2}$ .

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

Step 1.3

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

$2 x (y \sqrt{6 x})$

Step 3

Reorder factors in $2 x (y \sqrt{6 x})$ .

$2 x y \sqrt{6 x}$

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