The problem is differentiate (r^2)/(sqrt[r]+1)

I ended up with (3/2)r^(3/2)+2r in the numerator and (sqrt[r]+1)^2 in the denominator.

Is this correct so far and if so how do I simplify it more?

The answer apparently is r(4+3sqrt[r]) in the numerator and 2(1+sqrt[r])^2 in the denominator.