Advanced scientific calculator. Use the complex conjugate calculator. Suppose you just learned something like complex conjugation and your teacher gave you ten complex numbers and told you to find their conjugates. Then they sat down at their desks, hoping it would keep the class busy long enough to take a nap. To be fair, there are a lot of them. But that's not something we and the complex conjugate calculator can't handle! Let's start with (surprise, surprise) first: 2+2i. When we look at the complex conjugate calculator, we see the formula at the top, which also gives the symbols used below. Here, we see that a is the real part of the complex number and b is the imaginary part of the complex number.