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- Operations with one complex number
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.
example 1:
Find the complex conjugate of $z = \frac{2}{3} - 3i$.
example 2:
Find the modulus of $z = \frac{1}{2} + \frac{3}{4}i$.
example 3:
Find the inverse of complex number $3 - 3i$.
example 4:
Find the polar form of complex number $z = \frac{1}{2} + 4i$.
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:
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