Question

which of the following is the imaginary part of the simplest form of the complex number 4 - 2.3√(-1)? (1 point) 2.3i 4 -2.3i -1i

Explanation:

Step1: Recall the definition of $i$.

We know that $\sqrt{-1}=i$. So the complex number $4 - 2.3\sqrt{-1}$ can be written as $4-2.3i$.

Step2: Identify the imaginary - part.

For a complex number in the form $a + bi$ (where $a$ and $b$ are real numbers), the imaginary part is $b$. In the complex number $4-2.3i$, $a = 4$ and $b=-2.3$. The imaginary part is $- 2.3$, and when written in terms of $i$, the imaginary - part of the complex number is $-2.3i$.

Answer:

C. $-2.3i$