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How do you compute square roots by hand? Isn't it just a rudimentary root finding algorithm?

• all2 7y ago
  The only by-hand method for finding roots I know is "Newton's Method". I think I learned this in pure calculus? https://en.m.wikipedia.org/wiki/Newton's_method https://en.m.wikipedia.org/wiki/Newton's_method
  • chongli 7y ago
    The older method is attributed to Hero of Alexandria [1]. [1] https://en.m.wikipedia.org/wiki/Hero%27s_method https://en.m.wikipedia.org/wiki/Hero%27s_method
• billfruit 7y ago
  There is a method known as the the method of 'long-division' for finding the square root, that was what I was alluding to.
• jonsen 7y ago
  Square Root By Long Division: https://www.solipsys.co.uk/new/SquareRootByLongDivision.html https://www.solipsys.co.uk/new/SquareRootByLongDivision.html
• gshubert17 7y ago
  The calculation of the square root, relies on this result from squaring a number N = 10d + e (that is, single digits d and e, but d is in the 10s place): NN = (10d + e)(10d + e) = 100dd + 20de + ee Group the digits of the square by two, and add extra values to the "divisor" so that the extraction of the square root in effect undoes the squaring above. See, for example, https://sciencing.com/calculate-square-root-hand-5081134.html https://sciencing.com/calculate-square-root-hand-5081134.htm...