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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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answer | Comment 13 of 25 |

  It's simple, no. Based on he formula n(n+1)(n+2).

It's obvious that to get the perfect square we need nē therebefore (n+1)(n+2) must be equals to n, thats imposible, cause the resolutions leads you to a cuadratic equation with no real roots.

  Posted by Cesar Ali on 2004-06-30 10:16:09
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