Problem

Write real function Sqrt(x) to compute the square root of a real argument x by the follo...

Write real function Sqrt(x) to compute the square root of a real argument x by the following algorithm: First, reduce the range of x by finding a real number r and an integer m such that x = 22mr with 1/4 ?r < 1. Next, compute x2 by using three iterations of Newton’s method given by

with the special initial approximation

Then set √ x ≈ 2mx2. Test this algorithm on various values of x. Obtain a listing of the code for the square root function on your computer system. By reading the comments, try to determine what algorithm it uses.

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