Algorithm


1. Input: Take a number for which you want to find the square root.

2. Initialize: Set an initial guess for the square root. This could be the number itself or any reasonable approximation.

3. Update: Use the formula guess = 0.5 * (guess + number/guess) iteratively to improve the guess. Repeat this step until the guess is close enough to the actual square root.

4. Output: The final value of the guess is the square root of the input number.

Code Examples

#1 Code Example-Python program For positive numbers

Code - Python Programming

# Python Program to calculate the square root

# Note: change this value for a different result
num = 8 

# To take the input from the user
#num = float(input('Enter a number: '))

num_sqrt = num ** 0.5
print('The square root of %0.3f is %0.3f'%(num ,num_sqrt))
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Output

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The square root of 8.000 is 2.828

#2 Code Example-Python Program For real or complex numbers

Code - Python Programming

# Find square root of real or complex numbers
# Importing the complex math module
import cmath

num = 1+2j

# To take input from the user
#num = eval(input('Enter a number: '))

num_sqrt = cmath.sqrt(num)
print('The square root of {0} is {1:0.3f}+{2:0.3f}j'.format(num ,num_sqrt.real,num_sqrt.imag))
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Output

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The square root of (1+2j) is 1.272+0.786j
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Demonstration


Python Programing Example to Find the Square Root-DevsEnv