GMAT Statistics Lesson Video #4 | AM GM Inequality | 600 Level Practice

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GMAT Online Course | GMAT Statistics & Averages Lesson Video & Practice Question

This GMAT Math Lesson video includes derivation of the Arithmetic Mean - Geometric Mean Inequality and GMAT 600 level problem solving question that is an application of the AM - GM inequality. The question is solved in the video by iteration.Two results have been inferred based on the solution to the question.

Result 1: The product of two positive numbers whose sum is known is maximized when the numbers are equal.
Result 2: The sum of two positive numbers whose product is known is minimized when the numbers are equal.

Question
The sum of two positive integers 'a' and 'b' is 20. What is the maximum value of their product?

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Why 2 root ab gets maximized when a and b are same ?

bakulg