math functions

import math

print("Here are the numbers")
numbers = []
num = 0
while num <= 20:
    numbers.append(num)
    num += 1
print(numbers)

print('')
print('Here are the numbers squared')
squares = []
num = 0
while num <= 20:
    squares.append(num ** 2)
    num += 1
print(squares)

print("\n another method takes 6 lines down to 1 lines")
print("\n method 2a: {}".format(list(x * x for x in range(20))))

print("\n method 2a even squares: {}".format(list(x * x for x in range(20) if x % 2 == 0)))
print("\n method 2b odd squares: {}".format(list(x * x for x in range(20) if x % 2 != 0)))

print("\n Here are the numbers square roots of the squared numbers")
sq_root = []
num = 0
while num <= 20:
    sq_root.append(math.sqrt(squares[num]))
    num += 1
print(sq_root)
print('they returned floating point from sqrt')
print('\n Here are the numbers square roots of the squared numbers converted to integer')
# Method 1 of square root
sq_root = []
num = 0
while num <= 20:
    sq_root.append(int(math.sqrt(squares[num])))
    num += 1
print("Method 1 of square root: {}".format(sq_root))

# Method 2 of square root single line replacing 6
print("Method 2 of square root: {}".format(list(int(math.sqrt(squares[num])) for num in range(21))))