Newton’s Method.

Write a Python Program to find the square root of a number by Newton’s Method. 

Program Algorithm:

1. Define a function named newtonSqrt().

2. Initialize approx as 0.5*n and better as 0.5*(approx.+n/approx.)

3. Use a while loop with a condition better!=approx to perform the following,

i. Set approx.=better

ii. Better=0.5*(approx.+n/approx.)

4. Print the value of approx 

Program Code:

def newtonSqrt(n):

 approx = 0.5 * n

 better = 0.5 * (approx + n/approx)

 while better != approx:

 approx = better

 better = 0.5 * (approx + n/approx)

 return approx

print('The square root is' ,newtonSqrt(81)) 

Program Output :

The square root is 9