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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The function sqrt from the header file cmath can be used to find the square root of a nonnegative real number. Using Newton’s method, you can also write an algorithm to find the square root of a nonnegative real number within a given tolerance as follows: Suppose x is a nonnegative real number, a is the approximate square root of x, and epsilon is the tolerance. Start with a = x.
a. If |a2 - x| ≤ epsilon, then a is the square root of x within the tolerance; otherwise:
b. Replace a with (a2 + x) / (2a) and repeat Step a in which |a2 - x| denotes the absolute value of a2 - x.
Write a recursive function to implement this algorithmto find the square root of a nonnegative real number. Also, write a program to test your function.
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