Understanding Inequalities: Part II Question | Need Help?

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I need help with the second part, I've managed to get through all of the part (i), but I have no idea where to really start with part (ii), any hints to start me off and I'll keep posting how I'm doing.

thanks
 
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hi synkk! :smile:

(i don't know whether this works :redface:, but …)

i'd try rewriting it as a + b + c ≥ 3abc :wink:
 
Hint: the last equality can be rewritten as:
\frac{trs^2 + rst^2+ tsr^2}{rst}
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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