Bisection Method.py

def square_root_bisection(square_target, tolerance = 1e-7, max_iterations = 100):
    if square_target < 0:
        raise ValueError("Square root of negative number is not defined in real numbers")
    if square_target == 1:
        root = 1
        print(f"The square root of {square_target} is 1")
    elif square_target == 0:
        root = 0
        print(f"The square root of {square_target} is 0")
    else:
        low = 0
        high = max(1,square_target)
        root = None
        for _ in range(max_iterations):
            mid = ( (low+high)  / 2)
            square_mid = mid**2
            if abs(square_mid - square_target) < tolerance:
                root = mid
                break
            elif square_mid < square_target:
                low = mid
            else:
                high = mid
        if root is None:
            print(f"Failed to converge within {max_iterations} iterations.")
        else:
            print(f"The square root of {square_target} is approximately {root}")
    return root

square_root_bisection(int(input("Enter the number: ")))