I ran into another rationalizing problem and it is messing me up. it is f(x) = 1/sqrtx

so when I take my f(a+h) - f(a) I get {[1/sqrt(x+h)] - [1/sqrtx]}/h but inlike the question before that dealt with indeterminate form I am finding rationalizing is getting a bit messy. I end up with [(sqrt(x+h) + sqrtx)/h]/h

I will get this algebra someday. Haha