How can I prove that for a,b,c>0

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- September 20th 2008, 09:59 AMDarkAngel07How to prove...
How can I prove that for a,b,c>0

http://img78.imageshack.us/img78/230/uuumm9.gif - September 20th 2008, 10:34 AMMatt Westwood
I don't know how well this would work because it looks it might be a nightmare to simplify, but first thing I'd do would be to square it all and see what happened when I rearranged it.

- September 20th 2008, 11:15 AMbkarpuz
I guess that you may first need to apply Muirhead's inequality to the symmetric sum on the left-hand side, then apply some simple inqualities (see Muirhead's inequality - Wikipedia, the free encyclopedia).