Famous Inequality Worth Knowing: RMS-AM-GM-HM Inequality

-

MindYourDecisions

50,180 views
Hey guest, welcome to Funtvkids.com Like to see
This inequality is famous in math competitions and in theoretical proofs. But why is it true? The video presents a great geometric visualization and proof for two variables. Pay attention--I'll use this inequality in an upcoming video!

Desmos.com link
https://www.desmos.com/calculator/6kb...

Link to proofs of generalized case
https://artofproblemsolving.com/wiki/...

Playlist to watch all videos on MindYourDecisions
https://funtvkids.com/menber/playlist?list...

This is the only channel to feature math topics suggested by people from around the world. Sadly some textbooks, websites, and other channels think math is limited to specific topics from certain countries--and they are vocal about it. Support the channel on Patreon so we can prove math really is universal:
https://www.patreon.com/mindyourdecis...

If you buy from the links below I may receive a commission for sales. This has no effect on the price for you.

My Books
"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 34 reviews)
https://amzn.to/1uQvA20

"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 4.6/5 stars on 3 reviews)
https://amzn.to/1o3FaAg

"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.
https://amzn.to/1GhUUSH

"Math Puzzles Volume 2" is a sequel book with more great problems. (rated 4.3/5 stars on 4 reviews)
https://amzn.to/1NKbyCs

"Math Puzzles Volume 3" is the third in the series. (rated 4/5 stars on 6 reviews)
https://amzn.to/1NKbGlp

"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.4/5 stars on 13 reviews)
https://amzn.to/1LOCI4U

"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.8/5 stars on 5 reviews)
https://amzn.to/18maAdo

"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 4 reviews)
https://amzn.to/XRm7M4

Connect with me
My Blog: https://mindyourdecisions.com/blog/
Twitter: https://twitter.com/preshtalwalkar
Facebook: https://www.facebook.com/pages/Mind-Y...
Google+: https://plus.google.com/1083366085665...
Pinterest: https://www.pinterest.com/preshtalwal...
Tumblr: https://preshtalwalkar.tumblr.com/
Instagram: https://instagram.com/preshtalwalkar/
Patreon: https://www.patreon.com/mindyourdecis...

Newsletter (sent only for big news, like a new book release): https://eepurl.com/KvS0r
mathematics, math, maths, root mean square, quadratic mean, arithmetic mean, geometric mean, harmonic mean, inequality, triangle, right triangle, geometric construction, proof without words, mathematics visualization, mathematics animation, altitude on hypotenuse, problem solving,
Loading...