Question

Which of the following is the imaginary part of the simplest form of the complex number 4−2.3−1−−−√
?(1 point)
Responses

−1i
negative 1 i

2.3i
2.3 i

4
4

−2.3i

Answer 1

To find the imaginary part of the complex number \( 4 - 2 \sqrt{3} - i \), we first simplify the expression.

The given expression is:
\[
4 - 2 \sqrt{3} - i
\]

This can be rewritten as:
\[
(4 - 2 \sqrt{3}) + (-1)i
\]

From this form, you can see that the real part is \( 4 - 2\sqrt{3} \) and the imaginary part is \(-1\).

So, the imaginary part of the simplest form of the complex number is:
\[
-1i
\]

Thus, the correct response is:

-1i