Simplifying radicals???PLEASE HELP??

Question

x^(3/4) + 5/[x^(1/4)]

can someone help me simplify this radical....i am so confused!!!!

Answer 1

x^(3/4) + 5/[x^(1/4)]  -------- LCM = x^(1/4)

= [x^(3/4) × x^(1/4) + 5]/x^(1/4)

= [x^(3/4+1/4) + 5]/x^(1/4)

= (x + 5)/x^(1/4)

= x^(-1/4)(x + 5)

--------

Answer 2

x+5/4square root x.

Answer 3

x^(3/4) + 5x^(3/4)/x = [ x*x^(3/4) + 5x^(3/4) ] / x

= [ (x + 5)x^(3/4) ] / x

= x^(3/4) [(x + 5) / x]

I don't know what kind of 'simplification' can be done with this thing.

- - - - - Edited to add: - - - - -

It is true that this is the same, from dividing by x/x, as

x^(-1/4)(x + 5).

The problem is that this is also the same as (x + 5)/x^(1/4),

which leaves a radical (4th root) in the denominator.

As I attempted to imply, I think 'simplification' is ill-defined in this problem.