# How do you evaluate 2 square root of 12x^3y^3 - square root of 3xy?

Mar 31, 2017

color(red)(sqrt(3xy),(4xy-1)

#### Explanation:

$2 \sqrt{12 {x}^{3} {y}^{3}} - \sqrt{3 x y}$

$\therefore = 2 \sqrt{3 \cdot 2 \cdot 2 \cdot x \cdot x \cdot x \cdot y \cdot y \cdot y} - \sqrt{3 x y}$

$\therefore = \sqrt{2} \cdot \sqrt{2} = 2 , \sqrt{x} \cdot \sqrt{x} = x , \sqrt{y} \cdot \sqrt{y} = y$

$\therefore = 2 \cdot 2 \cdot x \cdot y \sqrt{3 x y} - \sqrt{3 x y}$

:.=4xysqrt(3xy)-sqrt(3xy))

:.color(red)(sqrt(3xy)(4xy-1)