Question

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

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

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

Answer 1

here
as a+b+c=3 so by wavy curve method it can be easily proved

Answer 2

Answer:

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