3√(11x^3y)÷-2√(12x^4y)

let's write it this way:

(3√(11x^3y) )/(-2√(12x^4y) )

= 3x√(11xy) / (-4x^2√(3y) )

= [3x√(11xy) / (-4x^2√(3y) )] * √(3y)/√(3y)

= - √(33x)/(4x)