a and b being two strictly positive numbers , compare (a+b)/2 and √a√b

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- Jan 6th 2011, 11:36 PMlebanonCompare
a and b being two strictly positive numbers , compare (a+b)/2 and √a√b

- Jan 6th 2011, 11:59 PMmelese
- Jan 7th 2011, 12:08 AMTheCoffeeMachine
And it can further be proven by simple induction that:

for and .