Return True if the nth root of an number is an integer.

calculate_is_nth_root.py

"""
Stack Overflow: Is cube root integer?
https://stackoverflow.com/a/50666516/3857372
"""

# Import `math` module.
import math

# Define `is_integer`
def is_integer(num: float, root: float) -> bool:
    """Return True if the nth root of an number is an integer.

    Args:
        num (float): number to evaluate if it has an integer for the nth root
        root (float): nth root to evaluate the number against

    Returns:
        bool: `True` if the nth root of an integer is a whole number
    """
    try:
        # Calculate the nth root of an integer
        nth_root = num**(1/root)
        print(f'\nThe {root} root of {num} is ~{nth_root}.')
        # Calculate the nearest whole number
        nearest_whole_number = round(nth_root)
        print(f'The nearest whole number to {nth_root} is {nearest_whole_number}')
        # Check if the nth root is close (default: 1e-09) to the nearest whole number
        is_whole_number = math.isclose(nth_root, nearest_whole_number)
        print(f'Is the {root} root of {num} close to a whole number? {is_whole_number}')
        return is_whole_number
    except Exception as e:
        print(f'Review Error: {e}')
        return False

# Call `is_integer` with (2**17)**3 and 3 as arguments
if __name__ == '__main__':
    num = eval(input('Enter a number: '))  # e.g., (2**17)**3 for number
    root = eval(input('Enter a root: '))  # e.g., 3 for root
    print(is_integer(num, root))