Yes, I saw that after posting.

I'll try again sometime later.

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Look my inequality, you can see Maximun of left Inequality is when a=b=c=3 and minimum right inequality is same as yourself.

But it is very easy to talk so.

I thinks it is a problem very very nice, and we can solve it by basic 's inequality.

Maybe it is CS and AM-GM.]]>

i tried to find the maximum value of the left part which is for a=b=c=3 and equals (3√2)/2, and the minimum value of the right part which is for a=b=c=1 and equals (9√2)/2 ,so for any other possible values for a,b and c the inequality will always be true.i think this is not the prefered method for solving this kind of problems but it is the only one i could come up with.

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