Methods of Computing Square Roots - Bakhshali Approximation

Bakhshali Approximation

This method for finding an approximation to a square root was described in an ancient Indian mathematical manuscript called the Bakhshali manuscript. It is equivalent to two iterations of the Babylonian method beginning with N. The original presentation goes as follows: To calculate, let N2 be the nearest perfect square to S. Then, calculate:

This can be also written as:

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