happy bithday for all.

I hope you that help me to prove this inequalitie:

a,b,c are positiv reel

sqrt(2a/(a+b) + sqrt(2b/(b+c)+ sqrt(2c/(c+a)<3.

Thank you in advance.

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- January 4th 2011, 02:32 PMLamalifInequality Problem
happy bithday for all.

I hope you that help me to prove this inequalitie:

a,b,c are positiv reel

sqrt(2a/(a+b) + sqrt(2b/(b+c)+ sqrt(2c/(c+a)<3.

Thank you in advance. - January 4th 2011, 04:27 PMPlato
Suppose that each of is a positive real numbers.

If then

If we have then .

WHY? - January 5th 2011, 09:32 AMLamalif
**Thank you Platon.**

I have an idea :

a/2<(a+b)/2 and 2/(a+b)<2/a and sqrt(2a/(a+b))<sqrt(2).

by this method we arrive at: sqrt(2a/(a+b))+sqrt(2b/(c+b))+sqrt(2c/(a+c)) <3sqrt(2).

Thank you again. - January 5th 2011, 09:36 AMalexmahone
- January 5th 2011, 09:51 AMLamalif