MATLAB CODE

2. The divide and average method is an old time method for approximating the square root of any positive number a. It can be formulated as: 2 where the initial value of x can be any positive number greater than zero. Write a well-structured M-file function based on the while. . .break loop structure to implement this algorithm. At each step estimate the error in your approximation as: XnewXold Tnew Repeat the loop until the error is less than or equal to a specified value, known as tolerance. The input variables for the function should be the initial x value, tolerance error value, and a. The outputs of the function should be the square root, error, and number of iterations required to achieve the desired tolerance. Prepare a table that summarizes the function outputs when a-64 tolerance=104, and the initial x value varies between 0.1, 5 and 100. Use the format long option to report a with 16 digits