Python cmath.sqrt() Method with Examples

cmath.sqrt() Method in Python:

The cmath.sqrt() method returns the given complex number’s square root.

Note: It should be noted that the number must be greater than or equal to 0.

Syntax:

cmath.sqrt(x)

Parameters

x: This is Required. A number whose square root is to be found.

• If the number is less than zero, a ValueError is returned.
• If the value is not a number, a TypeError is returned.

Return Value:

Returns a complex value that represents the complex number’s square root.

Examples:

Example1:

Input:

Given Complex Number = 3+4j

Output:

The given complex number's (3+4j) square root value = 
(2+1j)

Example2:

Input:

Given realpart = 5
Given imaginary part = 2

Output:

The given complex number's (5+2j) square root value = 
(2.27872385417085+0.4388421169022545j)

Note: The above input format is for dynamic input.

cmath.sqrt() Method with Examples in Python

• Using Built-in Functions (Static Input)
• Using Built-in Functions (User Input)

Method #1: Using Built-in Functions (Static Input)

Approach:

• Import cmath module(for complex number operations) using the import keyword.
• Give the complex number as static input and store it in a variable.
• Pass the given complex number as an argument to the cmath.sqrt() method that returns the given complex number’s square root value.
• Store it in another variable.
• Print the square root value of the given complex number.
• The Exit of the Program.

Below is the implementation:

# Import cmath module(for complex number operations) using the import keyword.
import cmath
# Give the complex number as static input and store it in a variable.
complexnumb = 3+4j
# Pass the given complex number as an argument to the cmath.sqrt() method that
# returns the the given complex number's square root value.
# Store it in another variable.
rslt = cmath.sqrt(complexnumb)
# Print the square root value of the given complex number.
print("The given complex number's", complexnumb,
      "square root value = ")
print(rslt)

Output:

The given complex number's (3+4j) square root value = 
(2+1j)

Similarly, try for the other examples

import cmath
complexnumb = 12
rslt = cmath.sqrt(complexnumb)
print("The given complex number's", complexnumb,
      "square root value = ")
print(rslt)

Output:

The given complex number's 12 square root value = 
(3.4641016151377544+0j)

Method #2: Using Built-in Functions (User Input)

Approach:

• Import cmath module(for complex number operations) using the import keyword.
• Give the real part and imaginary part of the complex number as user input using map(), int(), split().
• Store it in two variables.
• Using a complex() function convert those two variables into a complex number and store them in a variable.
• Pass the given complex number as an argument to the cmath.sqrt() method that returns the given complex number’s square root value.
• Store it in another variable.
• Print the square root value of the given complex number.
• The Exit of the Program.

Below is the implementation:

# Import cmath module(for complex number operations) using the import keyword.
import cmath
# Give the real part and imaginary part of the complex number as user input
# using map(), int(), split().
# Store it in two variables.
realnumb, imaginarynumb = map(int, input(
    'Enter real part and complex part of the complex number = ').split())
# Using a complex() function convert those two variables into a complex number.
complexnumb = complex(realnumb, imaginarynumb)

# Pass the given complex number as an argument to the cmath.sqrt() method that
# returns the the given complex number's square root value.
# Store it in another variable.
rslt = cmath.sqrt(complexnumb)
# Print the square root value of the given complex number.
print("The given complex number's", complexnumb,
      "square root value = ")
print(rslt)

Output:

Enter real part and complex part of the complex number = 5 2
The given complex number's (5+2j) square root value = 
(2.27872385417085+0.4388421169022545j)