Question

Given the complex number 7–√−6i
, determine the real part and the imaginary part.(1 point)

Answer 1

To determine the real part and the imaginary part of the complex number \( 7 - \sqrt{-6}i \), we first simplify the expression.

The term \( \sqrt{-6} \) can be rewritten using the imaginary unit \( i \):

\[
\sqrt{-6} = \sqrt{6}i
\]

Therefore, we can rewrite the complex number as:

\[
7 - \sqrt{-6}i = 7 - \sqrt{6}i
\]

Now, we can identify the real part and the imaginary part:

- The real part is \( 7 \).
- The imaginary part is \( -\sqrt{6} \).

Thus, the real part is \( 7 \) and the imaginary part is \( -\sqrt{6} \).