I found this on the internet in 1998 and saved it to my computer because I thought it was pretty amazing. It's is a method to take the square root of any number without using a calculator. All you need is a pencil and paper and a new long division algorithm.
I find this so facsinating because we take so much for granted with out sophisticated graphing calculators, it's nice to know how to get along with out one, if only for a simple mathematical operation. Enjoy!
(Click on the image)