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What is the first square number of more than one digit that is a palindrome?

Published in Mathematics 1 min read

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.

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