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Your internet connection may be unreliable. Explanation of three ways to find square roots without calculator, including the Babylonian method. Most people in today’s world feel that since calculators can find square roots, that children don’t need to learn how to find square roots using any pencil-and-paper method. However, learning at least the “guess and check” method for finding the square root will actually help the students UNDERSTAND and remember the square root concept itself! Example: what is square root of 20? Square that, see if the result is over or under 20, and improve your guess based on that.