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Calculators :: Complex numbers :: Operations with one complex number

This calculator extracts the square root, calculate the modulus, finds inverse, finds conjugate and transform complex number to polar form. The calculator will generate a detailed explanation for each operation.

Operations with one complex number

This calculator will find absolute value, inverse, conjugate or polar for a given complex number.
You can enter either integers (10), decimal numbers(10.12) or FRACTIONS(10/3). Important: The form will NOT let you enter wrong characters (like *, (, ), y, p, ...) How to input?? 

conjugate (default) modulus
inverse roots
polar form
Show me an explanation.

Formulas for conjugate, modulus, inverse, polar form and roots


Conjugate

The conjugate of the complex number z = a + bi is: complex conjugate

Example 1: conjugate example 1

Example 2: conjugate example 2

Example 3: conjugate example 3


Modulus (absolute value)

The absolute value of the complex number z = a + bi is: complex modulus

Example 1: modulus example 1

Example 2: modulus example 2

Example 3: modulus example 3


Inverse

The inverse of the complex number z = a + bi is:

complex inverse

Example 1:

inverse example

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