Give an example of two irrational numbers whose difference is a rational number?

φ² - φ - 1= 0
φ² - φ = 1

φ = 1.61803398.... , Phi, the number of the golden ratio, (sometimes called the "most irrational number").

btw the number, the ratio of consecutive adjacent elements of the Fibonacci sequence F converges to.

F = 1,1,2,3,5,8,13,21,34,55, ...