I'm using vim editor as python IDE. Below is a simple python program to calculate square root of a number:

import cmath
def sqrt():
    try:
        num = int(input("Enter the number : "))
        if num >= 0:
            main(num)
        else:
            complex(num)
    except:
        print("OOPS..!!Something went wrong, try again")
        sqrt()
    return

def main(num):
    squareRoot = num**(1/2)
    print("The square Root of ", num, " is ", squareRoot)
    return

def complex(num):
    ans = cmath.sqrt(num)
    print("The Square root if ", num, " is ", ans)
    return

sqrt()

And the warnings are :

1-square-root.py|2 col 1 C| E302 expected 2 blank lines, found 0 [pep8]
1-square-root.py|15 col 1 C| E302 expected 2 blank lines, found 1 [pep8]
1-square-root.py|21 col 1 C| E302 expected 2 blank lines, found 0 [pep8]

Can you please tell why these warnings are coming?

import cmath


def sqrt():
    try:
        num = int(input("Enter the number : "))
        if num >= 0:
            main(num)
        else:
            complex_num(num)
    except:
        print("OOPS..!!Something went wrong, try again")
        sqrt()
    return


def main(num):
    square_root = num**(1/2)
    print("The square Root of ", num, " is ", square_root)
    return


def complex_num(num):
    ans = cmath.sqrt(num)
    print("The Square root if ", num, " is ", ans)
    return

sqrt()

The previous will fix your PEP8 problems. After your import you need to have 2 new lines before starting your code. Also, between each def foo() you need to have 2 as well.

In your case you had 0 after import, and you had 1 newline between each function. Part of PEP8 you need to have a newline after the end of your code. Unfortunately I don't know how to show it when I paste your code in here.

Pay attention to the naming, it's part of PEP8 as well. I changed complex to complex_num to prevent confusion with builtin complex.

In the end, they're only warning, they can be ignored if needed.