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Calculating square roots easily IN 3 WAYS (BABYLONIAN and more)

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Mathemaniac

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   • EXPLAINED: Calculating square roots e...  

If you don't have a calculator (for example in math competitions), how do you calculate square root 2? Panic? Or go through this in your head: 1.4 square is 1.96, just slightly below 2; so let's try 1.41 squared, lower than 2, but 1.42, oh larger, then square root 2 must start off with 1.41...

Watch the video to see three different ways that help you nail it!

Useful links:

(1) "Long Division"
https://nrich.maths.org/5955

(2) Continued fraction
https://en.wikipedia.org/wiki/Pell_nu...
https://en.wikipedia.org/wiki/Continu...

(3) Babylonian's method
https://mathlesstraveled.com/2009/05/...

Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels:
https://forms.gle/QJ29hocF9uQAyZyH6

If you want to know why these methods work, stay tuned for the next video!

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#mathemaniac #math #squareroots #babylonian #nocalculator

posted by Dintrono14