Many mathematical operations have an inverse, or opposite, operation. Subtraction is the opposite of addition, division is the inverse of multiplication, and so on. Squaring, which we learned about in a previous lesson (exponents), has an inverse too, called "finding the square root." Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 …
The square root of a number, n, written
is the number that gives n when multiplied by itself. For example,
because 10 x 10 = 100
Examples
Here are the square roots of all the perfect squares from 1 to 100.
Java program to find out square root of a given number
Java Program
/*Java program to find out square root of a given number
*/
public class SquareRootDemo
{
public static void main(String[] args)
{
double number = 16;
double squareRoot = Math.sqrt(number);
//Displaying the values
System.out.println("number : "+number);
System.out.println("Square Root : "+squareRoot);
}
}
public class SquareRoot {
public static double calculateSqrt (int n) {
double rootValue = 1.00;
double num = n;
for (int i = 0; i < n; i++) {
rootValue = 0.5 * (rootValue + num/rootValue);
}
//To make only 3 digit available after decimal point
int returnValue = (int)(rootValue * 1000);
rootValue = returnValue;
rootValue /=1000;
System.out.println("Root Value Calculated : " + rootValue);
System.out.println("Root Value By InBuild Method Method : " + Math.sqrt(n));
return rootValue;
}
public static void main (String[] args) {
int n;
Scanner input = new Scanner (System.in);
System.out.println("Enter Number to find its square root-");
n = input.nextInt();
calculateSqrt(n);
}
}
Java Program to Find Square root of a Number Example
// Java Program to Find Square root of a Number
import java.util.Scanner;
public class SqrtofNumber1 {
private static Scanner sc;
public static void main(String[] args)
{
double number, squareRoot;
sc = new Scanner(System.in);
System.out.print(" Please Enter any Number : ");
number = sc.nextDouble();
squareRoot = Math.sqrt(number);
System.out.println("\n The Square of a Given Number " + number + " = " + squareRoot);
}
}
Java Program to Find Square root of a Number Example
// Java Program to Find Square root of a Number
import java.util.Scanner;
public class SqrtofNumber2 {
private static Scanner sc;
public static void main(String[] args)
{
double number, squareRoot;
sc = new Scanner(System.in);
System.out.print(" Please Enter any Number : ");
number = sc.nextDouble();
squareRoot = Math.pow(number, 0.5);
System.out.println("\n The Square of a Given Number " + number + " = " + squareRoot);
}
}
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