Create a problem where the sun of the two numbers is an irrational number

Answer 1

Problem:

Find two numbers, x and y, such that their sum results in an irrational number.

Solution:

Let's consider x = √2 and y = -√2.

The sum of x and y would be:

x + y = √2 + (-√2)
= 0

Since the sum is 0, which is a rational number, it does not satisfy the condition of having an irrational sum.

It is not possible to find two distinct numbers whose sum is an irrational number.