Algebra Examples

$- 2 \sqrt{121 x^{3} y}$

Step 1

Rewrite $121 x^{3} y$ as ${(11 x)}^{2} (x y)$ .

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Step 1.1

Rewrite $121$ as $11^{2}$ .

$- 2 \sqrt{11^{2} x^{3} y}$

Step 1.2

Factor out $x^{2}$ .

$- 2 \sqrt{11^{2} (x^{2} x) y}$

Step 1.3

Rewrite $11^{2} x^{2}$ as ${(11 x)}^{2}$ .

$- 2 \sqrt{{(11 x)}^{2} x y}$

Step 1.4

Add parentheses.

$- 2 \sqrt{{(11 x)}^{2} (x y)}$

$- 2 \sqrt{{(11 x)}^{2} (x y)}$

Step 2

Pull terms out from under the radical.

$- 2 (11 x \sqrt{x y})$

Step 3

Multiply $11$ by $- 2$ .

$- 22 x \sqrt{x y}$

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