The sum or difference of two irrational numbers is always

The sum or difference of two irrational numbers is not always irrational. It can be rational or irrational. Here's why:

1. If you add or subtract two irrational numbers, the result can be rational. For example, if you take the square root of 2 (an irrational number) and subtract the square root of 2, you get 0, which is a rational number.

2. However, in most cases, the sum or difference of two irrational numbers is also irrational. For example, the sum of the square root of 2 and the square root of 3 is an irrational number.

So, the sum or difference of two irrational numbers can be either rational or irrational, depending on the specific numbers involved.