Question

11. Rationalize the denominator and simplify: √3y/√x

Answer 1

`( √(3y) )/( √(x) ) = ( √(3x) * √(3y) )/( √(x) * √(x) ) = ( √(3x*3y) )/( (√(x))^2 ) = \frac{ \sqrt{3^(2)*x*y} }{x} = \frac{ \sqrt{ 3^(2) }* √(x*y) }{x} = (3* √(x*y) )/(x) = \boxed{(3 √(xy) )/(x)}`