Generalizing methods to calculate square roots to cube roots
Previous two videos:
• Calculating square roots easily IN 3 WAYS ... (without explanation)
• EXPLAINED: Calculating square roots easily... (explanation video)
So do each of the method mentioned in the previous two videos generalize to cube roots or even higher order roots? Watch this video to find out!
Note: As far as I am aware, the non-calculus generalization of Babylonian method is nowhere to be found on the Internet, so I consider it an original discovery. If you can find sources supporting otherwise, please let me know.
Useful links (Not the same as the previous two videos):
(1) Cube roots:
https://xlinux.nist.gov/dads/HTML/cub...
(2) Continued fraction:
https://en.wikipedia.org/wiki/Hermite...
(3) Babylonian method generalization:
(Newton's method) https://en.wikipedia.org/wiki/Newton%...
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