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

thank you.

Printable View

- October 8th 2008, 09:15 PMgreat_mathinequality 2
If a,b and c are non-negative reals such that , prove that

thank you. - October 9th 2008, 08:31 PMNonCommAlg
- October 12th 2008, 11:11 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: