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The “Russian” Long-Division Method for Square Roots

A clear, hands-on way to do √ by pencil—no calculator needed

Valeriy Manokhin's avatar
Valeriy Manokhin
Oct 28, 2025
∙ Paid

TL;DR: You can extract square roots by hand with a tidy, repeatable routine. I walk through the method (with step-by-step examples) in my new Medium article:

Why this is worth your time

  • It’s algorithmic: no guessing games or memorizing dozens of tricks.

  • It builds intuition for how squaring and place value interact.

  • It’s perfect for students, math-curious re…

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