Simplify -2 square root of 121x^3y

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

Step 1

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

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

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

Factor out $x^{2}$ .

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

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

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

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 $- 2$ .

$- 22 x \sqrt{x y}$

Related Questions