If a,b and c are non-negative reals such that , prove that

thank you.

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- Oct 8th 2008, 08:15 PMgreat_mathinequality 2
If a,b and c are non-negative reals such that , prove that

thank you. - Oct 9th 2008, 07:31 PMNonCommAlg
- Oct 12th 2008, 10:11 AMNonCommAlg
for those who are interested, the above inequality can be easily generalized, i.e. if are non-negative numbers and then:

the proof is the same and is based on AM-GM: let then the inequality becomes: so:

multiplying these inequalities together gives us:

hence: