I'm having trouble with this problem.
The only way I can get the answer the book gives is to illegally remove the exponent of 1/2 from the 1st term.
Problem: (2x+1)^(1/2) + (x+3)(2x+1)^(-1/2)
=(2x+1)^(1/2) + ((x+3) / ((2x + 1)^(1/2))
(I don't see any like terms here unless I remove the exponent)
Book's answer: (3x+4) / (sqrt(2x+1))
Another question: I see that I should move (2x+1)^(-1/2) to the denominator because of the negative exponent. When I do this, does it go in the denominator of all the other terms, or just in the den of (x+3)?
Please explain what I'm doing wrong. Thanks alot!!