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Square root of number

Explain why the following method for calculating the square root of a positive real number c works and is very efficient: First make a reasonable guess aflages and call the guess the first approximation x1. Then divide x1 into c and average the result with thereby getting a second approximation x2. Then divide x2 into c and average the result with x2, getting a third approximation, and so on. Images Comment. This is an example of a very general mathematical procedure, called the method of succes

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