MathDB
exists a subset S of A with n elements , with irrational sum

Source: Mathematics Regional Olympiad of Mexico West 2016 P2

September 7, 2022
algebracombinatoricsirrational number

Problem Statement

Let AA be an infinite set of real numbers containing at least one irrational number. Prove that for every natural number n>1n > 1 there exists a subset SS of AA with n elements such that the sum of the elements of SS is an irrational number.
Back to ProblemsView on AoPS