*****PYTHON PROGRAM:

4. Write a program to approximate the square root of a number x entered by the user, by using the following algorithm: start with result = x/2, and keep updating result to (result + x/result)/2 as many times as specified by the user. (This is Newton's algorithm.) [3.17] Compare (result ** 2) to x. Call your program 'sqrt_newton.py'. Example usage: This program approximates square roots using Newton's algorithm. Input number: 3.47 Number of iterations: 4 1.8627936010197157 Squares error: -4.440892098500626e-16