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DID YOU KNOW that there is a sort of long-division-esque way of calculating square roots? I remember when I was 10 or 11 my maternal grandfather showed me this, I was amazed.
(Unlike long division, where each additional digit of accuracy in the answer requires the same amount of effort, in this method each additional digit requires linearly more effort, so the 20th digit requires 5 times as much effort as the 4th digit.)