Question

Was wondering
Do they exist a general formula for something like this??

√1+√2+√3+√4..........√n

I just thought of it though wanted to ask if there is

Answer 1

looks like you just gave the general formula for the sequence
A_n = √n

For the sum, however, it's not so easy. google "generalized harmonic number"

Answer 2

Thanks sir obleck
Actually the sum was difficult for me