diff --git a/Algebra/simple_calculator.py b/Algebra/simple_calculator.py
index 3f18edd..fbdd6c4 100644
--- a/Algebra/simple_calculator.py
+++ b/Algebra/simple_calculator.py
@@ -1,171 +1,229 @@
-import math
-from sympy import symbols, solve, sqrt
-from fractions import Fraction
-import sys
+# Importing required libraries
+import math                          # for mathematical functions like sqrt, isqrt
+from sympy import symbols, solve, sqrt   # for solving algebra equations
+from fractions import Fraction      # for fraction conversions
+import sys                           # for exiting the program
 
-def main():
-   
-   while True:
-
-    main_menu()
-    choice = input("Enter your choice (1-12): ")
-
-    if choice == '1':
-      perform_operation(add)
-    elif choice == '2':
-      perform_operation(subtract)
-    elif choice == '3':
-      perform_operation(multiply)
-    elif choice == '4':
-      perform_operation(divide)
-    elif choice == '5':
-      perform_operation(prime_number)
-    elif choice == '6':
-      perform_operation(prime_factor)
-    elif choice == '7':
-      perform_operation(square_root)
-    elif choice == '8':
-      perform_operation(solve)
-    elif choice == '9':
-      perform_operation(convert_decimals_to)
-    elif choice == '10':
-      perform_operation(convert_fractions_to)
-    elif choice == '11':
-      perform_operation(convert_percents_to)
-    elif choice == '12':
-      print("Goodbye!")
-      break
-    else:
-      print("Invalid choice. Please choose a valid option (1-12).")
-   
-
-
-  
 
+def main():
+    # Infinite loop to keep program running until user exits
+    while True:
+        main_menu()   # display menu options
+
+        choice = input("Enter your choice (1-12): ")
+
+        # Based on user choice, call respective function
+        if choice == '1':
+            perform_operation(add)
+        elif choice == '2':
+            perform_operation(subtract)
+        elif choice == '3':
+            perform_operation(multiply)
+        elif choice == '4':
+            perform_operation(divide)
+        elif choice == '5':
+            perform_operation(prime_number)
+        elif choice == '6':
+            perform_operation(prime_factor)
+        elif choice == '7':
+            perform_operation(square_root)
+        elif choice == '8':
+            perform_operation(solve)
+        elif choice == '9':
+            perform_operation(convert_decimals_to)
+        elif choice == '10':
+            perform_operation(convert_fractions_to)
+        elif choice == '11':
+            perform_operation(convert_percents_to)
+        elif choice == '12':
+            print("Goodbye!")
+            break   # exit loop
+        else:
+            print("Invalid choice. Please choose a valid option (1-12).")
+
+
+# ================= BASIC OPERATIONS =================
 
 def add():
-  try:
-    a = int(input('Enter an integer: '))
-    b = int(input('Enter an integer: '))
-    print(f"a+b = {a+b}")
-  except ValueError:
-    print("Invalid input. Please enter integers only.")
+    try:
+        a = int(input('Enter an integer: '))
+        b = int(input('Enter an integer: '))
+        print(f"a+b = {a+b}")
+    except ValueError:
+        print("Invalid input. Please enter integers only.")
+
 
 def subtract():
-  try:
-    a = int(input('Enter an integer: '))
-    b = int(input('Enter an integer: '))
-    print(f"a-b = {a-b}")
-  except ValueError:
-    print("Invalid input. Please enter integers only.")
+    try:
+        a = int(input('Enter an integer: '))
+        b = int(input('Enter an integer: '))
+        print(f"a-b = {a-b}")
+    except ValueError:
+        print("Invalid input. Please enter integers only.")
+
 
 def multiply():
-  try:
-    a = int(input('Enter an integer: '))
-    b = int(input('Enter an integer: '))
-    print(f"a*b = {a*b}")
-  except ValueError:
-    print("Invalid input. Please enter integers only.")
+    try:
+        a = int(input('Enter an integer: '))
+        b = int(input('Enter an integer: '))
+        print(f"a*b = {a*b}")
+    except ValueError:
+        print("Invalid input. Please enter integers only.")
+
 
 def divide():
-  try:
-    a = int(input('Enter an integer: '))
-    b = int(input('Enter an integer: '))
-    if b == 0:
-      print("Cannot divide by zero!")
-    else:
-      print(f"a/b = {a/b}")
-  except ValueError:
-      print("Invalid input. Please enter integers only.")
+    try:
+        a = int(input('Enter an integer: '))
+        b = int(input('Enter an integer: '))
+
+        if b == 0:   # prevent division by zero
+            print("Cannot divide by zero!")
+        else:
+            print(f"a/b = {a/b}")
+    except ValueError:
+        print("Invalid input. Please enter integers only.")
+
+
+# ================= NUMBER THEORY =================
+
 def prime_number():
-  try:
-    number = int(input("Enter a positive integer: "))
-    if number <= 0:
+    try:
+        number = int(input("Enter a positive integer: "))
+
+        if number <= 0:
+            print("Invalid input. Please enter a positive integer.")
+            return
+
+        # Check if number is prime
+        is_prime = all(number % i != 0 for i in range(2, number))
+
+        print("prime" if is_prime else "composite")
+    except ValueError:
         print("Invalid input. Please enter a positive integer.")
-        return
-    is_prime = all(number % i != 0 for i in range(2, number))
-    print("prime" if is_prime else "composite")
-  except ValueError:
-    print("Invalid input. Please enter a positive integer.")
+
 
 def prime_factor():
-  try:
-    number = int(input('Enter an integer: '))
-    if number <= 0:
+    try:
+        number = int(input('Enter an integer: '))
+
+        if number <= 0:
+            print("Invalid input. Please enter a positive integer.")
+            return
+
+        # Find all factors of number
+        factors = [i for i in range(1, number + 1) if number % i == 0]
+
+        print(factors)
+    except ValueError:
         print("Invalid input. Please enter a positive integer.")
-        return
-    factors = [i for i in range(1, number + 1) if number % i == 0]
-    print(factors)
-  except ValueError:
-    print("Invalid input. Please enter a positive integer.")
+
+
+# ================= ROOT & EQUATIONS =================
 
 def square_root():
-  try:
-    n = int(input('Without the radical, enter a square root to factor: '))
-    if n <= 0:
+    try:
+        n = int(input('Without the radical, enter a square root to factor: '))
+
+        if n <= 0:
+            print("Invalid input. Please enter a positive integer.")
+            return
+
+        # Find largest perfect square factor
+        max_factor = max(i**2 for i in range(1, math.isqrt(n) + 1) if n % (i**2) == 0)
+
+        other_factor = n // max_factor   # remaining part
+
+        square_root = int(math.sqrt(max_factor))  # √(perfect square)
+
+        # Final simplified form using sympy sqrt
+        output = square_root * sqrt(other_factor)
+
+        print(output)
+
+    except ValueError:
         print("Invalid input. Please enter a positive integer.")
-        return
-    max_factor = max(i**2 for i in range(1, math.isqrt(n) + 1) if n % (i**2) == 0)
-    other_factor = n // max_factor
-    square_root = int(math.sqrt(max_factor))
-    output = square_root * sqrt(other_factor)
-    print(output)
-  except ValueError:
-    print("Invalid input. Please enter a positive integer.")
+
 
 def solve():
-  try:
-    x = symbols('x')
-    eq = input('Enter an equation to solve for x: 0 = ')
-    solutions = solve(eq, x)
-    print(f"x = {solutions[0]}" if solutions else "No solutions found.")
-  except (ValueError, TypeError, IndexError):
-    print("Invalid equation or no solutions found.")
+    try:
+        x = symbols('x')   # define variable
+
+        eq = input('Enter an equation to solve for x: 0 = ')
+
+        solutions = solve(eq, x)   # solve equation
+
+        print(f"x = {solutions[0]}" if solutions else "No solutions found.")
+
+    except (ValueError, TypeError, IndexError):
+        print("Invalid equation or no solutions found.")
+
+
+# ================= CONVERSIONS =================
 
 def convert_decimals_to():
-  try:
-    decimal = float(input("Enter a decimal number to convert: "))
-    fraction = Fraction(decimal).limit_denominator()
-    percent = decimal * 100
-    print(f"The decimal is {decimal}")
-    print(f"The fraction is {fraction}")
-    print(f"The percent is {percent}%")
-  except ValueError:
-    print("Invalid input. Please enter a valid decimal number.")
+    try:
+        decimal = float(input("Enter a decimal number to convert: "))
+
+        fraction = Fraction(decimal).limit_denominator()
+        percent = decimal * 100
+
+        print(f"The decimal is {decimal}")
+        print(f"The fraction is {fraction}")
+        print(f"The percent is {percent}%")
+
+    except ValueError:
+        print("Invalid input. Please enter a valid decimal number.")
+
 
 def convert_fractions_to():
-  try:
-    fraction = input("Enter a fraction (numerator/denominator): ")
-    numerator, denominator = map(int, fraction.split("/"))
-    decimal = numerator / denominator
-    percent = decimal * 100
-    print(f"The decimal is {decimal}")
-    print(f"The percent is {percent}%")
-  except (ValueError, ZeroDivisionError):
-    print("Invalid input. Please enter a valid fraction.")
+    try:
+        fraction = input("Enter a fraction (numerator/denominator): ")
+
+        numerator, denominator = map(int, fraction.split("/"))
+
+        decimal = numerator / denominator
+        percent = decimal * 100
+
+        print(f"The decimal is {decimal}")
+        print(f"The percent is {percent}%")
+
+    except (ValueError, ZeroDivisionError):
+        print("Invalid input. Please enter a valid fraction.")
+
 
 def convert_percents_to():
-  try:
-    percent = float(input("Enter a percent: ").strip("%"))
-    decimal = percent / 100
-    fraction = Fraction(decimal).limit_denominator()
-    print(f"The decimal is {decimal}")
-    print(f"The fraction is {fraction}")
-  except ValueError:
-    print("Invalid input. Please enter a valid percent.")
+    try:
+        percent = float(input("Enter a percent: ").strip("%"))
+
+        decimal = percent / 100
+        fraction = Fraction(decimal).limit_denominator()
+
+        print(f"The decimal is {decimal}")
+        print(f"The fraction is {fraction}")
 
-# Write your code here
+    except ValueError:
+        print("Invalid input. Please enter a valid percent.")
+
+
+# ================= CONTROL FUNCTIONS =================
 
 def perform_operation(operation_func):
+    # Calls the function passed (like add, subtract, etc.)
     operation_func()
+
+    # Ask user if they want to continue
     if not continue_calculations():
-        sys.exit("Goodbye")
+        sys.exit("Goodbye")   # exit program completely
+
 
 def continue_calculations():
     check = input("Do you want to continue calculations? (Y/N): ").upper()
-    return check != "N"
+
+    return check != "N"   # return False only if user enters N
+
 
 def main_menu():
+    # Display all menu options
     print("Menu:")
     print("1. Add")
     print("2. Subtract")
@@ -181,5 +239,6 @@ def main_menu():
     print("12. Exit")
 
 
-if __name__=='__main__':
-    main()
+# Entry point of program
+if __name__ == '__main__':
+    main()
\ No newline at end of file