Question

How do you write the complex conjugate of the complex number `sqrt( -7)`?

Answer 1

`-sqrt(-7)` or `-sqrt(7)i`

Explanation:

If `a` and `b` are Real numbers then the Complex conjugate of `a+bi` is `a-bi`.

By definition and convention, if `a` is a negative number, then:

`sqrt(a) = sqrt(-a) i`

So:

`bar(sqrt(-7)) = bar(sqrt(7)i) = -sqrt(7)i = -sqrt(-7)`