How do you go about simplifying problems like:
1. x(x-1)^-1/2 + 2(x-1)^1/2
There are a few problems like this. It's the start of school, and I've completely forgotten. ANY help would be fantastic.
Also, the same things for problems like:
2. (((1/y-k)-(1/y))/k)
3. (x^3/2 + (2/sqrt.of3)^2
Thank you!

Question

How do you go about simplifying problems like: 
1. x(x-1)^-1/2 + 2(x-1)^1/2 
There are a few problems like this. It's the start of school, and I've completely forgotten. ANY help would be fantastic.
Also, the same things for problems like: 
2. (((1/y-k)-(1/y))/k)
3. (x^3/2 + (2/sqrt.of3)^2
Thank you!

anonymous · Answer

common denominator:  (x-1)^1/2... so multiply second term by sqrt(x-1)/sqrt(x-1).  You get [x+2(x-1)]/sqrt(x-1).  Simplify numerator. (3x-2)/sqrt(x-1)   =  (3x-2)sqrt(x-1)/(x-1).   Is that the sort of answer you need?

anonymous · Answer

it is just simply binomial expansion of (x+a)^n,put n=-1\2 and a=-1

anonymous · Answer

multiply and divide the eq. by (x-1)^1/2.......then  simplyfy