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.
