Visual proof of the two-variable am-gm inequality

Joshi, Kapil D (2018) Visual proof of the two-variable am-gm inequality. At Right Angles, 7 (1). pp. 54-55.

Text - Published Version
Download (214kB) | Preview


The algebraic proof of (1) consists of recognizing that a b ab 2 2 + − 2 is a perfect square, namely, (a – b)2 which is always non-negative as a and b are real numbers. This is probably the simplest and the most direct proof.

Item Type: Articles in APF Magazines
Authors: Joshi, Kapil D
Document Language:
Uncontrolled Keywords: AM-GM inequality, visual proof
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
Publisher URL:

Actions (login required)

View Item View Item