rktpro Posted September 7, 2011 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?
imatfaal Posted September 7, 2011 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
rktpro Posted September 8, 2011 Author 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!
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