Answer:
The illustration in Java is as follows:
import java.util.*;
import java.lang.Math.*;
class Main{
public static void main (String[] args){
Scanner input = new Scanner(System.in);
double num, root, temp;
num = input.nextDouble();
temp = num;
while (true){
root = 0.5 * ( (num / temp)+temp);
if (Math.abs(root - temp) < 0.00001){
break; }
temp = root; }
System.out.println("Root: "+root);
}}
Explanation:
This declares all necessary variables
double num, root, temp;
This gets input for num (i.e the number whose square root is to be calculated)
num = input.nextDouble();
This saves the input number to temp
temp = num;
This loop is repeated until it is exited from within the loop
while (true){
Calculate temporary square root
root = 0.5 * ( (num / temp)+temp);
The loop is exited, if the absolute difference between the root and temp is less than 0.00001
if (Math.abs(root - temp) < 0.00001){
break; }
Save the calculated root to temp
temp = root; }
This prints the calculated root
System.out.println("Root: "+root);
