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aa+b+bb+c+cc+a≤Ka+b+c\frac{a}{\sqrt{a+b}}+\frac{b}{\sqrt{b+c}}+\frac{c}{\sqrt{c+a}}\leq K\sqrt{a+b+c}a+ba+b+cb+c+ac≤Ka+b+c
Find the smallest value of KKK such that the above inequality holds true for all non-negative values of a,ba, b a,b and ccc.
What is ⌊10000K⌋? \left \lfloor 10000K \right \rfloor?⌊10000K⌋?
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