AM - GM Inequality and Minimum Value | ISI BStat BMath Entrance 2015 Objective 5
Join Trial or Access Free ResourcesJoin Trial or Access Free ResourcesIn this video we discuss the Arithmetic Mean-Geometric Mean (AM-GM) inequality and its application to find minimum value of an algebraic expression. We use a problem from the ISI BStat BMath Entrance exam 2015 which involves finding the minimum value of an expression, demonstrating algebraic manipulation without AM-GM inequality.
We look at the relationship between AM and GM and use the fact that the arithmetic mean is always greater than or equal to the geometric mean. We also explore a geometric interpretation of the AM-GM inequality using the example of lengths forming a circle's diameter.
In 2026, the following Cheenta students have been successful for Indian Statistical Institute's M.Stat Entrance. They ranked within the first 50 in the entire country in these entrances. I.S.I. M.Stat Entrance
In 2026, the following Cheenta students have been successful for Indian Statistical Institute's B.Stat Entrance and Chennai Mathematical Institute's B.Sc. Math Entrance. They ranked within the first 200 in the entire country in these entrances. Most of these students attended the problem solving workshops regularly, which happen 5 days every week. CMI B.Sc. Math Entrance […]
In 2025, 8 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies. The Regional Mathematics Olympiad (RMO) and the Indian National Mathematics Olympiad (INMO) are two most important mathematics contests in India.These two contests are for the students who are […]
Cheenta Academy proudly celebrates the success of 27 current and former students who qualified for the Indian Olympiad Qualifier in Mathematics (IOQM) 2025, advancing to the next stage — RMO. This accomplishment highlights their perseverance and Cheenta’s ongoing mission to nurture mathematical excellence and research-oriented learning.