How to
find the square root of a number without a calculator. A question very
similar to the worked example shown on this page used to be a question for
11 year olds (yes exams are getting easier). Without this algorithm (or a
calculator) finding the square root of a ten digit (or similarly large) non-(trivial)-factoring number is quite a challenge! Try finding the square root of
5186736361 yourself ... stuck? Then follow the link to see a worked
solution.