Question

Create a function that takes in a positive number and return 2 integers such that the number is between the squares of the 2 integers. It returns the same integer twice if the number is a square of an integer.

Answer 1

A function that takes in a positive number and return 2 integers such that the number is between the squares of the 2 integers. It returns the same integer twice if the number is a square of an integer is likewise:

def sqApprox(num):

i = 0

minsq = 0 # set lower bound

maxsq = math.ceil(num’l’num)

# set upper bound

while i< maxsq :

# set ‘while’ termination condition

if i*i< =num and i>minsq:

# complete inequality condition

minsq = i

if i*i> =num and i<maxq

# complete inequality condition

maxsq = i

i+=l

# update i so that ‘while’ will terminate return (minsq, maxsq)