Add/subtract, if possible, and put your answer in simplest form (if necessary): 2 sqrt(36x^3) + 3x sqrt(x) – 2x sqrt(25x)

Question

3x sqrt(12x)

7x sqrt(x)

Not possible to add/subtract

5 sqrt(x^3)

5x sqrt(x)

Answer 1

2√(36x³) + 3x√x - 2x√(25x)

 

Now 36 = 6², x³ = x²*x, and 25 = 5²:

 

2√(6²x²x) + 3x√x - 2x√(5²x)

 

     = 2*6x√x + 3√x - 2x*5√x

 

     = 12x√x + 3√x - 10x√x

 

= 5x√x