Requirements: Demonstrate $3$ Iterations of the Babylonian Algorithm. Use the Babylonian Algorithm to calculate an

approximation for the square root of $21$ which is: $21458257569496.$

$$ Use an initial guess of $4$

$$ Perform the "Repeat" section $3$ times

$$ Feel free to use a calculator to help with addition$/$subtraction

$$ Show the results you compute at each step

$$ Include after each step the calculation how close $2$ is to s which gives an indication of how close one is to the

true answer. Hint: After one iteration the difference should be $2=03906.$