square_root.py

from decimal import Decimal

def find_square_root(number, decimal_places, current_result=None, current_decimal_place=1):
    # Find the integer part of the square root
    if current_result is None:
        current_result = int(number / 2)

    # Check if we have computed the required number of decimal places
    if current_decimal_place-1 == decimal_places:
        return current_result

    # Try placing 0-9 in decimal positions to find the closest square
    for possible_decimal in range(9, -1, -1):
        candidate = current_result + Decimal(f'0.{str(possible_decimal).zfill(current_decimal_place)}')
        squared_result = candidate * candidate

        if squared_result <= number:
            return find_square_root(number, decimal_places, candidate, current_decimal_place + 1)

# Example usage
decimal_places = 3
number = 2
result = find_square_root(number, decimal_places)
print(result) # 1.414