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# 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?

You may send solutions to support@cheenta.com. Though we usually look into internal students work, we will try to give you some feedback.

# Connected Program at Cheenta

Math Olympiad is the greatest and most challenging academic contest for school students. Brilliant school students from over 100 countries participate in it every year.

Cheenta works with small groups of gifted students through an intense training program. It is a deeply personalized journey toward intellectual prowess and technical sophistication.

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