Question

Write a pair of irrational numbers whose sum is irrational.

Answer 1

√3 + 5 and √5 - 3 are irrational numbers whose sum is irrational.

(√3 + 5) + (√5 - 3) = √3 + √5 + 5 - 3 = √3 + √5 + 2 which is irrational.