The first square number of more than one digit that is a palindrome is 121.
Let's explore how we find this. We need to check the squares of numbers greater than 1 and identify the first palindrome we encounter that has more than one digit.
- 22 = 4 (Single digit)
- 32 = 9 (Single digit)
- 42 = 16
- 52 = 25
- 62 = 36
- 72 = 49
- 82 = 64
- 92 = 81
- 102 = 100
- 112 = 121
121 is a palindrome because it reads the same forwards and backward. Since it's also a square number (11 squared) and has more than one digit, it satisfies the conditions of the problem.