DK-GEORGMOHR 2013 Problem 4

The positive integer $a$ is greater than $10$ , and all its digits are equal. Prove that $a$ is not a perfect square.

(A perfect square is a number which can be expressed as $n^2$ , where $n$ is an integer.)

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.