Geometry of AM GM Inequality

Get motivated… try this quiz
Understand the problem

Arithmetic mean and Geometric mean are useful algebraic tools. They have beautiful geometric interpretation as well. The following video takes a tour into the ideas.

Tutorial Problems… try these before watching the video.

1. Show algebraically that \(\frac{a+b}{2} \geq \sqrt {ab}\) if a, b are non-negative real numbers.
2. Can you extend the above result to four number?

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Now watch the discussion video

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