Finding minimum

ughhhhignoreme

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Apr 13, 2024
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let a,b,c be all positive reals.
let [math]a+b+c = 1[/math] Find the minimum of abc.


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i've tried am-gm
but i got to
[math]\frac{a+b+c}{3} \ge \sqrt[3]{abc}[/math]

[math]1/27 \ge abc[/math]
but got stuck here.
 
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