Write a program for finding the root of any positive integer N using c++.

Question

One way of finding the square root of any positive integer N is by using the formula;
X(new)=1/2 (X(old)+N/X(old))
Where X(new) gives an improved square root of N. The initial value of X(old) can be any guessed number. The current X(old) when substituted into X(new) gives a better estimate that becomes the next iteration of X(old).
When the absolute difference of X(new) and X(old) is less than 10^-6 , then X(new) is considered to be root of N.
Write a program for the above process in finding the root of any positive integer N.

Answer 1

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