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Real Numbers Problem

rktpro
in Mathematics

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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?

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

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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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