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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??

0 1 2 3 4 5 6 7 8 9 - / . del
 conjugate (default) modulus inverse roots polar form
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Formulas for conjugate, modulus, inverse, polar form and roots

Conjugate

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

Example 1:

Example 2:

Example 3:

Modulus (absolute value)

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

Example 1:

Example 2:

Example 3:

Inverse

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

Example 1: