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:

n e w   a p p r o x i m a t i o n = ( n / p r e v i o u s   a p p r o x i m a t i o n ) + p r e v i o u s   a p p r o x i m a t i o n 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.)