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Multiplying gets a square? (Posted on 2004-06-26) Difficulty: 3 of 5
Is it possible to get a perfect square if you multiply three consecutive natural numbers?

See The Solution Submitted by Federico Kereki    
Rating: 3.0000 (5 votes)

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No | Comment 10 of 25 |

The answer is no.

A pefect square is obtained by multiplying a number with itself, but there is no set of three consecutive 'natural' numbers where the product of any two equals the third.

You can't use negatives since the product of any three negatives is a negative, and you can't have a negative square.

You can't use positives and negatives because 0 will be included in the set, and of course anything multiplied by 0 is 0.

 


  Posted by Christian Hiort on 2004-06-26 21:04:01
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