



"""simple docstring"""






def 	snake_case_  (				A_ :		float						):


       '''simple docstring'''





       if edge <= 0 or not isinstance(A_,    A_						):
              raise ValueError('''Length must be a positive.'''						)
       return 3 * ((25 + 10 * (5 ** (1 / 2))) ** (1 / 2)) * (edge**2)






def 	snake_case_  (				A_ :		float						):


       '''simple docstring'''





       if edge <= 0 or not isinstance(A_,    A_						):
              raise ValueError('''Length must be a positive.'''						)
       return ((15 + (7 * (5 ** (1 / 2)))) / 4) * (edge**3)


if __name__ == "__main__":
   import doctest

   doctest.testmod()







"""simple docstring"""






import math






def 	snake_case_  (				A_ :		int						):


       '''simple docstring'''





       return math.sqrt(A_						) * math.sqrt(A_						) == num






def 	snake_case_  (				A_ :		int						):


       '''simple docstring'''





       _lowerCamelCase						:    Dict         =			0
       _lowerCamelCase						:    Tuple         =			n
       while left <= right:
              _lowerCamelCase						:    List[str]         =			(left + right) // 2
              if mid**2 == n:
                     return True
              elif mid**2 > n:
                     _lowerCamelCase						:    int         =			mid - 1
              else:
                     _lowerCamelCase						:    Optional[Any]         =			mid + 1
       return False


if __name__ == "__main__":
   import doctest

   doctest.testmod()


