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I have pondered on the following question for 3 days but not got an answer. please give me a correct answer if you can. let a,b,c

be +ve reals such that a+b+c=3, then prove that

aa \sqrt{8b^2+c^2}+b \sqrt{8c^2+a^2}+c \sqrt{8a^2+b^2} \leq 9 .

the inequality is perfectly right so do not ask questions about its correctness.


as a+b+c=3 so by wavy curve method it can be easily proved
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could you please give a more detailed solution? i don't think it is so easy as to just name a method and say hence proved.
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