We think the solution 10,201
We knew it was a palindrome. So it must read forward and backwards with the same sequence.
The product between the numbers was zero. This meant there was a zero in the number. I listed several palindrome options with zero in the number. I also knew that the number was a square root. This is the opposite of a square.
So I made a list of all the numbers were palindromes around one hundred and squared them. I found 101 and then squared it to get 10, 201. No other palindrome seemed to work so i am thinking this is the only answer. Am I correct?
Bergman Elementary, Manhattan, KS (Grade 5)