Newton Raphson Method(a very optimized way to find root)

public class NewtonRaphson{
    public static void main(String[] args) {
        System.out.printf("%.3f",sqrt(423749));
    }

    static double sqrt(int n){
        double x = n;
        double root;

        while(true){
            root = (x + n/x)/2;

            if(Math.abs(root-x) < 1){
                break;
            }

            x = root;
        }

        return root;
    }
}