Problem 3. (Newtons Method) Using Program 1.3.6 (sqrt.py) from the IPP text as a model, develop a program root.py that takes a oat c and an integer k as command-line arguments and writes k c (kth root of c) to 5 decimal places of accuracy, ie, use = 0.00001. Hint: at each iteration, replace the estimate t by tf(t)/f0(t), where f(t) = tk c and f0(t) = ktk1; and use the condition |1c/tk| > to continue the loop.

$ python3 root.py 3 2

1.73205081001

$ python3 root.py 64 3

4.00000050864