Hi,
Can't you just do the following (where i'll use the notation "sx" to indicate the square root of x)...
x^(3/2)=x*sx
So sx goes into x*sx, x times. So we place an 'x' over top of the first term giving us x/(x*sx) for the first term.
x*sx goes into x*sx one time, so we keep the '1' over top of the second term, giving us 1/(x*sx).
So we end up with:
x/(x*sx)+1/(x*sx)
which when simplified gives us:
(x+1)/(x*sx)
and i dont see any further simplification. So this was a matter of multiplying the denominators and then that as a common denominator and then simplifying.
Is that what you wanted to do?