#Exercise 2.19 from A primer...

from math import sqrt

for n in range(1, 60):
    r = 2.0
    for i in range(n):
        r = sqrt(r)
    for i in range(n):
        r = r**2
    print(f'{n} times sqrt and **2: {r}')

"""
Teriminal> python repeated_sqrt.py
1 times sqrt and **2: 2.0000000000000004
2 times sqrt and **2: 1.9999999999999996
3 times sqrt and **2: 1.9999999999999996
...
56 times sqrt and **2: 1.0
57 times sqrt and **2: 1.0
58 times sqrt and **2: 1.0
59 times sqrt and **2: 1.0
"""