A simple proof on the inequality of arithmetic and geometric means

TL;DR

This paper presents a simplified proof of the inequality of arithmetic and geometric means by reducing it to another interesting inequality, providing a clearer understanding of this fundamental mathematical concept.

Contribution

The paper introduces a new simplified proof of the AM-GM inequality by linking it to a different inequality, enhancing conceptual clarity.

Findings

The proof simplifies understanding of the AM-GM inequality.

It demonstrates the connection between AM-GM and another mathematical inequality.

Provides a new perspective on a classical inequality.

Abstract

In this short paper we show that the inequality of arithmetic and geometric means is reduced to another interesting inequality, and a proof is provided.