3. There are 3 conclusions below:
(1) There exist two different irrational numbers, the difference of which is an integer;
(2) There exist two different irrational numbers, the product of which is an integer;
(3) There exist two different non-integer rational numbers, the sum and quotient of which are integers.
Among them, the correct conclusions are ( ) in number.
(A) 0
(B) 1
(C) 2
(D) 3
3. D.

Example: $\sqrt{5}+1, \sqrt{5}-1$ satisfy conclusions (1) and (2); $\frac{5}{3}, \frac{1}{3}$ satisfy conclusion (3).