perfect square 44...488..89
Source: 2004 Estonia National Olympiad Final Round grade 10 p3
March 25, 2020
number theoryDigitsPerfect Square
Problem Statement
The teacher had written on the board a positive integer consisting of a number of s followed by the same number of s followed . During the break, Juku stepped up to the board and added to the number one more at the start and a at the end. Prove that the resulting number is an a square. of an integer.