Question

to write a python program to find the square root of a number by newton's medhod

Answer 1

def newton_method(number, number_iters = 500):

a = float(number) # number to get square root of

for i in range(number_iters): # iteration number

number = 0.5 * (number + a / number) # update

# x_(n+1) = 0.5 * (x_n +a / x_n)

return number

print newton_method(9)

# Output: 3

print newton_method(2)

# Output: 1.41421356237