#math trivia #121 solution

The only base > 1 in which 121 is not a square of 11 is the base in which 121 is not a number:  base 2.

In base 2, the square of 11 is 1001.  (In decimal, we’d say the square of 3 is 9.)

In every other base b > 1, the square of 11 is the square of (b+1), which is b^2+b+1, or 121 in the base.

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