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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.
examples
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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