Fractional part of the product of every two of them is 0.5
Source: Tuymaada 2009, Senior League, First Day, Problem 1
July 19, 2009
symmetryalgebrasystem of equationsalgebra unsolved
Problem Statement
Three real numbers are given. Fractional part of the product of every two of them is . Prove that these numbers are irrational.
Proposed by A. Golovanov