General framework for extracting roots by hand

27 November 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This method generalizes the digit-by-digit extraction of roots for any 𝑛 . By using binomial expansion, each new digit is chosen so that the partial root’s power stays below the target number, refining the approximation step by step.

Keywords

Root
real number
binomial
Taha’s Root Fact

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Comment number 1, Александр Киселев: Dec 01, 2025, 20:00

An engaging read that raises several important questions about [topic]. It provides a solid foundation for further discussion on this relevant issue.