diff --git a/searching/sqrt_x.py b/searching/sqrt_x.py
new file mode 100644
index 0000000..2399b28
--- /dev/null
+++ b/searching/sqrt_x.py
@@ -0,0 +1,27 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+# author: bt3gl
+
+
+def sqrt(x) -> int:
+    
+        if x < 2:
+            return x
+        
+        left, right = 2, x // 2
+        
+        while left <= right:
+            
+            pivot = left + (right - left) // 2
+            num = pivot * pivot
+            
+            if num > x:
+                right = pivot - 1
+                
+            elif num < x:
+                left = pivot + 1
+                
+            else:
+                return pivot
+            
+        return right