Algebra
posted by Emmy .
How would I simplify (1/2sqrtx^(1/2))/(sqrt2x+9?

eh? Do you mean
1/2 (√x)^(1/2)

√(2x+9)
Kind of odd, having a root of a root 
I'm sorry no, all of it is multiplied (just ignore the dividing slash before square root2x+9, meant to be parentheses to multiply).

Well, if you mean
1/2 (√x)^(1/2) √(2x+9)
There's not much to do. If you make it all a 4throot, then you have
1/2 ∜((2x+9)^2 / x)
I still don't think that's what you meant, but ...