(English subtitles and High definition)
https://youtu.be/6lORU03yuvY
The true story on root approximation.
The new extremely simple arithmetical methods do not require neither derivatives, nor geometry, nor trial-and-error tests, but just the simplest arithmetic, and hold high-order convergence rate similar, or even better, than the most reknown methods of infinitesimal calculus.
These new methods bring a new definition for rational and irrational numbers