Nth root of M Python

PROGRAM TO FIND Nth ROOT OF M




import math

import random

  

# method returns Nth power of A

def nthRoot(A,N):

  

    # initially guessing a random number between

    # 0 and 9

    xPre = random.randint(1,101) % 10

   

    #  smaller eps, denotes more accuracy

    eps = 0.001

   

    # initializing difference between two

    # roots by INT_MAX

    delX = 2147483647

   

    #  xK denotes current value of x

    xK=0.0

   

    #  loop untill we reach desired accuracy

    while (delX > eps):

  

        # calculating current value from previous

        # value by newton's method

        xK = ((N - 1.0) * xPre +

              A/pow(xPre, N-1)) /N

        delX = abs(xK - xPre)

        xPre = xK;

          

    return xK

  

# Driver code

N = 4

A = 81

nthRootValue = nthRoot(A, N)

print("Nth root is ", nthRootValue)

OUTPUT

Nth root is 3

CREDITS: https://www.geeksforgeeks.org/n-th-root-number/