What is the smallest positive integer...?

Question

What is the smallest positive integer c for which (sq. root of a) + (sq. root of b) = (sq. root of c) has a solution in unequal positive integers?

Answer 1

Using the three smallest positive integers...

1 + 2 = 3

Sqrt(1) + Sqrt(4) = Sqrt(9)

So the answer is 9

Did I miss something?

Answer 2

1st 1 is correct

   1+2=3

so, sq1+sq4=sq9

      1+2=3

since it satisfies the eqn

so ans is 9:)