To write a Python Program to find the square root of a number by Newton’s Method. 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: 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(100)) Sample Output:

 Aim:

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

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:

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(100))

Sample Output:

The square root is 10