Python program find the square root of a number (Newton’s method)

Here you will get an example to write a Python program find the square root of a number Newtons method.

Example Python program find the square root of a number Newtons method

def newtons_method_sqrt(number, tolerance=1e-10, max_iterations=1000):

if number < 0:

raise ValueError("Cannot compute the square root of a negative number.")

guess = number

for _ in range(max_iterations):

next_guess = 0.5 * (guess + number / guess)

if abs(next_guess - guess) < tolerance:

return next_guess

guess = next_guess

return guess

def main():

try:

number = float(input("Enter a number to find its square root: "))

if number < 0:

print("Cannot compute the square root of a negative number.")

return

result = newtons_method_sqrt(number)

print(f"The square root of {number} is approximately {result}")

except ValueError:

print("Please enter a valid number.")

if __name__ == "__main__":

main()

Output

Enter a number to find its square root: 16
The square root of 16.0 is approximately 4.0