Find limit as x approaches 4 of the quotient of the quantity the square root of the quantity 3 times x plus 4 minus the square root of 4 times x and the quantity x squared minus 4 times x . you must show your work or explain your work in words

Lim x-4   (√3x+4 - √4x) / (x^2-4x)simplify √4x to equal 2√x
multiply by the conjugate (√3x+4 - 2√x)(√3x+4 + 2√x) / (x^2-4x) (√3x+4 + 2√x) 

 simplify = -x+4 /  (x^2-4x) (√3x+4 + 2√x) 

 factor (x^2-4x) which equals x(x-4)

-x+4 /  x(x-4) (√3x+4 + 2√x) 
  simplify= -1/ 4(√3x+4 + 2√x)
next plug in 4 
-1/ 4(√3(4)+4 +2 √(4)) = (-1/32)