evan rando project | Python Fiddle

# python code for creating the percent error graph

import math

#check if a number n is a perfect square
def perfect_sq(n):
    return n == int(math.sqrt(n)) * int(math.sqrt(n))

def closest_ps(n): 
    # distance from perfect square that is greater than n
    p = 0.
    while perfect_sq(n+p) == False:
        p = p + 1
	
    # distance from perfect square that is less than n
    m = 0.
    while perfect_sq(n-m) == False:
        m = m + 1   
    
    # n is closer to a perfect square larger than n
    if m <= p:
        d = n-m
        #here d is the closest perfect square to our n
        #apply binomial theorem where x = m/d
        return math.sqrt(d)*(1+.5*(m/d))
	
    # or n is closer to a perfect square less than n
    else:
        d = n+p	
        #apply binomial theorem where x = -m/d
        return math.sqrt(d)*(1-.5*(p/d))

i = 15
while (i < 1000):
    # calculate percent error using the error formula. i**.5 = i^.5 
	print (abs(closest_ps(i) - i**.5)/(i**.5))*100
   	i = i + 1

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