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A square (Posted on 2004-06-25) Difficulty: 2 of 5
A number AABB is the square of an integer. Find this integer, aided by pen and paper. No other calculating aids allowed.

See The Solution Submitted by Ady TZIDON    
Rating: 3.1429 (7 votes)

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Solution Just by hand | Comment 6 of 15 |
A four digit number must have a two digit square, greater than 31 (since 31²<1000). Also, AABB is a multiple of 11, so its square root must also be a multiple of 11. The two previous conditions show that the square root must be 33, 44, 55, 66, 77, 88 or 99. Testing them by hand finds 88²=7744.
  Posted by Federico Kereki on 2004-06-25 16:39:30
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