`A = sqrt(x)/(x + sqrt(x)) + (x + sqrt(x) + 1)/(sqrt(x) + 1) (x > 0)`

`= sqrt(x)/(sqrt(x)(sqrt(x)+1)) + (x + sqrt(x) + 1)/(sqrt(x)+1)`

`= 1/(sqrt(x)+1) + (x + sqrt(x) + 1)/(sqrt(x)+1)`

`= (1 + x + sqrt(x) + 1)/(sqrt(x)+1)`

`= (x + sqrt(x) + 2)/(sqrt(x)+1)`

Vậy `A= (x + sqrt(x) + 2)/(sqrt(x)+1)` `(x>0)`