Question 29889
5√75x³ + √3x ----(1)
75 = 5X5X3 = (5^2)X3
sqrt(75) =sqrt[(5^2)X3] = sqrt[(5^2)]X sqrt(3) = 5√3 
√x³ = sqrt[(x^2)(x)] = sqrt[(x^2)]sqrt(x)= x√x
√75x³ = (√75)(√x³)=(5√3)(x√x)=5x√(3x) ----(*) 

Therefore 
5√75x³ + √3x using (*)
= 5X[5x√(3x)] +  √(3x)
=25xt +t Where t = √(3x)
=(25x+1)t
=(25x+1)√(3x)