If the sum of two different irrational numbers is a rational number, then what are the two irrational numbers?

If the sum of two different irrational numbers is a rational number, then what are the two irrational numbers?

There must be no single answer to this question. For example,(π,-π),(e,-e), and so on meet the requirements. In fact, one of the irrational numbers can be arbitrary.

Given that the rational number A.B satisfies the 2nd power of [A+B] is equal to 1, and the 2nd power of the brackets A-B is equal to 25, the value of the 2nd power of A+B+AB is obtained. Given that the rational number A.B satisfies [A+B] to the second power is equal to 1, and the second power of brackets A-B is equal to 25, the value of A to the second power +B to the second power +AB is obtained.

2 Of A +2 of B + AB =2 of [A + B ]- AB =2 of A - B +3AB
1-AB=25+3AB
AB=-6
A to the second power + B to the second power + AB =[ A + B] to the second power - AB =1+6=7