# Math Help - Algebra Proof

1. ## Algebra Proof

If $a_k$ is a positive real number prove:

$(1/n)(a_1 + a_2 + a_3 .... + a_n) >= ({a_1}{a_2}{a_3}....{a_n})^{n^{-1}}$

2. Hello kevinlightman
Originally Posted by kevinlightman
If $a_k$ is a positive real number prove:

$(1/n)(a_1 + a_2 + a_3 .... + a_n) >= ({a_1}{a_2}{a_3}....{a_n})^{n^{-1}}$
This is the AM-GM inequality. You'll find several proofs here: Inequality of arithmetic and geometric means - Wikipedia, the free encyclopedia