Nth root of M Java

PROGRAM TO FIND Nth ROOT OF M

class GFG

{

      

    // method returns Nth power of A

    static double nthRoot(int A, int N)

    {

          

        // intially guessing a random number between

        // 0 and 9

        double xPre = Math.random() % 10;

      

        // smaller eps, denotes more accuracy

        double eps = 0.001;

      

        // initializing difference between two

        // roots by INT_MAX

        double delX = 2147483647;

      

        // xK denotes current value of x

        double 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 +

            (double)A / Math.pow(xPre, N - 1)) / (double)N;

            delX = Math.abs(xK - xPre);

            xPre = xK;

        }

      

        return xK;

    }

      

    // Driver code

    public static void main (String[] args)

    {

        int N = 4;

        int A = 81;

      

        double nthRootValue = nthRoot(A, N);

        System.out.println("Nth root is " 

        + Math.round(nthRootValue*1000.0)/1000.0);

    }

}




OUTPUT

Nth root is 3

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