Java Program to Implement Nth Root Algorithm

This is a Java Program to Implement Nth Root Algorithm. This program is used to calculate n th root of a number x.

Here is the source code of the Java Program to Implement Nth Root Algorithm. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

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/**
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 ** Java Program to implement Nth Root Algorithm

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 **/
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import java.util.Scanner;
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/** Class NthRoot **/
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public class NthRoot
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{
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    public double nthroot(int n, double x)

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    {
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        return nthroot(n, x, .0001);
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    }
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    public double nthroot(int n, double x, double p)

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    {
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        if(x < 0) 
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        {
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            System.err.println("Negative!");

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            return -1;
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        }
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        if(x == 0) 
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            return 0;
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        double x1 = x;
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        double x2 = x / n;  
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        while (Math.abs(x1 - x2) > p) 
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        {
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            x1 = x2;
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            x2 = ((n - 1.0) * x2 + x / Math.pow(x2, n - 1.0)) / n;

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        }
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        return x2;
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    }
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    /** Main **/
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    public static void main(String[] args)

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    {
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        Scanner scan = new Scanner(System.in);

        System.out.println("Nth Root Algorithm Test\n");

        System.out.println("Enter n and x");

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        int n = scan.nextInt();
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        double x = scan.nextInt();
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        NthRoot nr = new NthRoot();
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        double root = nr.nthroot(n, x);
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        System.out.println("\nRoot = "+ root);

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    }    
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}
```

Nth Root Algorithm Test
 
Enter n and x
2
3
 
Root = 1.7320508100147274

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