## Puzzle 62: Novemberish

Find a four digit number aabb such that it is a perfect square. Discuss ways of systematically finding this number (meaning not just punching into the calculator).

Hint: Write aabb in standard form => aabb = 1000a + 100a + 10b + b

Extension: Prove mathematically that the number you found is possibly the only solution.

Hint: Write aabb in standard form => aabb = 1000a + 100a + 10b + b

Extension: Prove mathematically that the number you found is possibly the only solution.