19-The Babylonian Method for Determining a Square Root of a Number

The Babylonian Method for Determining a Square Root of a Number

The following is a method which is used to calculate the square root of a postive number. To download click here: sqrt.java.

import javax.swing.*;       public class sqrt       {           public static void main(String args[])           {             String tempString=JOptionPane.showInputDialog("Enter a positive number");             double number=Double.parseDouble(tempString);             System.out.println("Square root of " + number+"="+sqrt(number));                                }           public static double sqrt(double number)           { //square root Babylonian method                                                   double estimate=number;                     double divisor=2;                 //below 100 is arbitrary, for very small decimals  i values must be large                     for(int i=0; i<100; i++)                     {                         estimate=number/divisor;                               estimate=(estimate+divisor)/2; //find average estimate & divisor                         divisor=estimate;                     }                     return estimate;                      }       }