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.
Last edited by janvdl; January 5th 2011 at 10:48 AM.
Reason: Fixed title
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.
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.
Granted, but I thought you wanted to prove that the expression is less than 3 (not ).