Write a program that implements Newton’s method to compute and display the square root of a number, x, entered by the user. The algorithm for Newton’s method follows:

Read x from the user

Initialize guess to x/2

While guess is not good enough do

Update guess to be the average of guess and x/guess

When this algorithm completes, guess contains an approximation of the square root of x. The quality of the approximation depends on how you define “good enough”. In the author’s solution, guess was considered good enough when the absolute value of the difference between guess ∗ guess and x was less than or equal to 10−12.