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Pythagoras knew it!! (Posted on 2010-03-05) Difficulty: 2 of 5
The basic arithmetic mean-geometric mean (AM-GM) inequality states simply that if x and y are nonnegative real numbers, then. (x+y)/2 ≥ √(x*y), with equality if and only if x = y.
There are various proofs for this theorem (for any number of values), inter alia Polya, Cauchy, by induction etc.
Now derive your proof directly from Pythagoras' formula a2+b2 = c2, a ≠ b.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
re: Solution with thanksDanish Ahmed Khan2012-10-28 06:14:07
re(2): my attemptDaniel2010-03-05 20:21:17
SolutionSolutionBractals2010-03-05 18:11:49
re: my attemptJayDeeKay2010-03-05 17:59:41
my attemptDaniel2010-03-05 17:10:36
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