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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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Variations........ | Comment 3 of 15 |

7744 is the only such number.  (Charlie proved that)

No number of the form AABB is a 3rd, 4rth, 5th, 6th, 7th, 8th, 9th, 10th, 11th, 12th or 13th root. No number of the form AAABBB or AAAABBBB is an nth root, wher 2 <= n <= 20.

Is there anything else you don't need to know ?

 

 

 

Edited on June 25, 2004, 11:27 am
  Posted by Penny on 2004-06-25 11:18:56

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