Chapter 5.7, Problem 5E

Numerical analysis) Given a number, n, and an approximation for its square root, a closer approximation of the actual square root can be found by using this formula:

$newapproximation=\frac{(n/previousapproximation)+previousapproximation}{2}$

Using this information, write a C++ program that prompts the user for a number and an initial guess at its square root. Using this input data, your program should calculate an approximation of the square root that’s accurate to 0.00001. (Hint: Stop the loop when the difference between the two approximations is less than 0.00001.)