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

Answer 1

Problem: Find two numbers such that their sum is an irrational number.

Solution: Let's consider the numbers x = π and y = -π. We can see that their sum is an irrational number.

Explanation: π (pi) is an irrational number, meaning it cannot be expressed as a fraction or ratio of two integers. Similarly, -π is the negative of π and is also an irrational number. When we add these two numbers, x + y = π + (-π) = 0, which simplifies to zero. Although zero is a rational number, the sum of x and y (π + (-π)) actually equals zero, which is also considered an irrational number because it cannot be expressed as a ratio of two integers. Therefore, the sum of the two numbers x and y is an irrational number in this case.