Sunday, August 30, 2009

Proof of AM-GM-HM Inequality by Geometric idea

The most simple version of AM-GM-HM Inequality is;

$a,b \in R$
$\frac{a+b}{2}\ge \sqrt{ab} \ge \frac{2ab}{a+b}$

Anyone can prove the inequality above by using Geometric ideas?

Solution will be posted on Sep 7, 2009

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