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Problem Of The Week #482 September 6th 2021

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anemone

MHB POTW Director
Staff member
Feb 14, 2012
3,931
Here is this week's POTW:

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If $a,\,b$ and $c$ are positive reals such that $abc=1$, prove that $\sqrt{\dfrac{a}{a+8}}+\sqrt{\dfrac{b}{b+8}}+\sqrt{\dfrac{c}{c+8}}\ge 1$.

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Remember to read the POTW submission guidelines to find out how to submit your answers!
 
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