Perfect square palindromic numbers

A palindromic number is one which when expressed in base $10$ with no leading zeros, reads the same left to right and right to left. For example, $44944$ is a (base 10) palindrome.

I can find quite a few palindromes which are also perfect squares; indeed there are an infinite set of them of the form $1,121,10201,1002001, \ldots$. In each of these cases, however, the square root of the palindrome is itself a palindrome.

I would like to know about palindromes which are the square of non-palindromes:

• Are there any perfect square palindromes whose square roots are not palindromic?




• Is there an infinite set of perfect square palindromes whose square roots are not palindromic?





• Are the answers to these questions different in other bases?