Complex Conjugate Calculator
Find the conjugate of a + bi by reversing the imaginary coefficient.
Formula
conj(a + bi) = a − bi
Conjugate real part ≈ (3) · Conjugate imaginary coefficient ≈ -(4)
How to use
- Enter the real part a.
- Enter the imaginary coefficient b.
- Write the output as real + imaginary × i.
Examples
- The conjugate of 3 + 4i is 3 − 4i.
Frequently asked questions
What is a conjugate?
It keeps the real part and changes the sign of the imaginary part.
Does conjugation change the modulus?
No. Both numbers have modulus √(a²+b²).
What if b is zero?
The number is real and equals its conjugate.
Sources
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