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## Homework Statement

Let [tex] r_{1}, r_{2}, ... , r_{n} [/tex] be strictly positive numbers. Show that the inequality

[tex] (1+R_{G})^{n} \leq V [/tex]

is true. Where [tex] R_{G} = (r_{1}r_{2}...r_{n})^{1/n}[/tex] and [tex] V= \Pi_{k=1}^{n} (1+r_{k}) [/tex]

## Homework Equations

## The Attempt at a Solution

I've tried taking the log of both sides, as well as expanding out the term. Any insight?

Thanks,

M