Question

give an example to show that difference of two irrational number is not always an irrational number

Answer 1

The sum of two irrational numbers is SOMETIMES irrational." The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."