Algebra Examples

$- 2 x \sqrt{3 x y^{3}} z^{7}$

Step 1

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

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Step 1.1

Factor out $y^{2}$ .

$- 2 x \sqrt{3 x (y^{2} y)} z^{7}$

Step 1.2

Move $x$ .

$- 2 x \sqrt{3 y^{2} x y} z^{7}$

Step 1.3

Reorder $3$ and $y^{2}$ .

$- 2 x \sqrt{y^{2} \cdot 3 x y} z^{7}$

Step 1.4

Add parentheses.

$- 2 x \sqrt{y^{2} \cdot 3 (x y)} z^{7}$

Step 1.5

Add parentheses.

$- 2 x \sqrt{y^{2} \cdot (3 x y)} z^{7}$

Step 2

Pull terms out from under the radical.

$- 2 x (y \sqrt{3 x y}) z^{7}$

Step 3

Reorder factors in $- 2 x (y \sqrt{3 x y}) z^{7}$ .

$- 2 x y \sqrt{3 x y} z^{7}$