Add Square Root by Babylonian Method (TheAlgorithms#2883)

Author: SaumyaBhushan

src/main/java/com/thealgorithms/maths/SquareRootWithBabylonianMethod.java

@@ -0,0 +1,25 @@
+package com.thealgorithms.maths;
+
+import java.util.Scanner;
+
+
+public class SquareRootWithBabylonianMethod {
+    /**
+     * get the value, return the square root
+     *
+     * @param num contains elements
+     * @return the square root of num
+     */
+    public static float square_Root(float num)
+    {
+        float a = num;
+        float b = 1;
+        double e = 0.000001;
+        while (a - b > e) {
+            a = (a + b) / 2;
+            b = num / a;
+        }
+        return a;
+    }
+
+}

src/test/java/com/thealgorithms/maths/SquareRootwithBabylonianMethodTest.java

@@ -0,0 +1,26 @@
+package com.thealgorithms.maths;
+
+import org.junit.jupiter.api.Assertions;
+import org.junit.jupiter.api.Test;
+
+public class SquareRootwithBabylonianMethodTest {
+    @Test
+    void testfor4(){
+        Assertions.assertEquals(2,SquareRootWithBabylonianMethod.square_Root(4));
+    }
+
+    @Test
+    void testfor1(){
+        Assertions.assertEquals(1,SquareRootWithBabylonianMethod.square_Root(1));
+    }
+
+    @Test
+    void testfor2(){
+        Assertions.assertEquals(1.4142135381698608,SquareRootWithBabylonianMethod.square_Root(2));
+    }
+
+    @Test
+    void testfor625(){
+        Assertions.assertEquals(25,SquareRootWithBabylonianMethod.square_Root(625));
+    }
+}