package newton_sqrt;
import java.util.Scanner;


public class sqrt {

public static void main(String [] args) {

    Scanner obj = new Scanner(System.in);
    System.out.println("Enter in N for Newton:");
    double N = obj.nextDouble();
    System.out.println("Newton("+N+".O)="+getSqrt(N));
    System.out.println("Math.sqrt="+Math.sqrt(N));}


    static double getSqrt(double N) {
        double x=N, absolute_value_of_x=0;
        double new_guess=0;
        double last_guess=N/2;
        double error = last_guess;

        while(error>0.000001) {
        new_guess = (N/last_guess + last_guess)/2;
        error = Math.abs(last_guess-new_guess);
        last_guess = new_guess;
        }
    return new_guess;

    }

}