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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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re: Solution with thanks Comment 5 of 5 |
(In reply to Solution by Bractals)

Bravo!Excellent work done thats a very nice way to prove the inequality.
I thank you very much for the solution you gave.

  Posted by Danish Ahmed Khan on 2012-10-28 06:14:07
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