Question

What is the complex conjugate of a complex number $a+bi$.

Short answer

The complex conjugate of the given number is $a-bi$.

Step-by-step solution

Step 1. Define complex number.

Complex number is a number that is the combination of real and imaginary part. In general complex number can be expressed as $a+ib$.

Here, aand b are real number and i is the imaginary number.

Step 2. Define complex conjugate.

Complex conjugate of a complex number is the number in which the magnitude of real as well as the imaginary part is same but the sign of imaginary part is changed.

Step 3. Find the complex conjugate.

The given complex number is $a+ib$.

So, the complex conjugate of the given number is $a-bi$.

Thus, the complex conjugate of the given number is $a-bi$.