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 |a 2 − x | ≤ epsilon, then a is the square root of x within the tolerance; otherwise:
b. Replace a with (a 2 + x ) / (2a ) and repeat Step a
where | a 2 − x | denotes the absolute value of a 2 − x .
Write a recursive function to implement this algorithm to find the square root of a nonnegative real number. Also, write a program to test your function.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.