starting with rational, r -> \sqrt {r + 1} -> \sqrt {r + 1} -> ..., irrational
Source: Tuymaada Junior 2004 p1
May 11, 2019
algebrairrational number
Problem Statement
A positive rational number is written on the blackboard. Every minute Vasya replaces the number written on the board with . Prove that someday he will get an irrational number.