are positive integers and lies inbetween and . How would I go about showing which number is closer to ?

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- Mar 28th 2011, 12:25 PMchewitardwhich number is closer to sqrt(5): (a/b) or (2a+5b)/(a+2b)
are positive integers and lies inbetween and . How would I go about showing which number is closer to ?

- Mar 29th 2011, 08:59 AMrunning-gag
Hi

You must compare and

Using the same denominator and rearranging a little bit

Then you can show that