rktpro Posted September 7, 2011 Share Posted September 7, 2011 I read this statement in a book. Difference of any two perfect squares is at least 3 It has been used to prove another question. I asked my teacher if he could tell me how to get this statement. He had no idea of it. Could you please tell me how to get this statement? Link to comment Share on other sites More sharing options...
imatfaal Posted September 7, 2011 Share Posted September 7, 2011 can you not just calculate the difference between (n+1)^2 and n^2 and get 2n+1. for positive n, 2n+1 will have smallest magnitude when n is 1 - ie difference is 3 Link to comment Share on other sites More sharing options...
rktpro Posted September 8, 2011 Author Share Posted September 8, 2011 can you not just calculate the difference between (n+1)^2 and n^2 and get 2n+1. for positive n, 2n+1 will have smallest magnitude when n is 1 - ie difference is 3 Oh yes! Didn't think of that. Thanks! Link to comment Share on other sites More sharing options...
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