Question

What is the complex conjugate of `2sqrt10`?

Answer 1

`2sqrt10`

Explanation:

To find a complex conjugate, simply change the sign of the imaginary part (the part with the `i`). This means that it either goes from positive to negative or from negative to positive.

As a general rule, the complex conjugate of `a+bi` is `a-bi`.

You present an odd case. In your number, there is no imaginary component. Therefore, `2sqrt10`, if expressed as a complex number, would be written as `2sqrt10+0i`.

Therefore, the complex conjugate of `2sqrt10+0i` is `2sqrt10-0i`, which is still equal to `2sqrt10`.