What are the steps to get 4 – 2i?
The correct answer and explanation is:
To obtain the expression 4−2i4 – 2i, follow these steps:
- Recognize the complex number format:
The expression 4−2i4 – 2i is a complex number in the form a+bia + bi, where aa is the real part and bb is the imaginary part. Here, the real part is 4, and the imaginary part is −2i-2i. - Understand the components:
- The real part (4) is a simple number that does not involve ii (the imaginary unit).
- The imaginary part involves −2i-2i, where ii is the square root of -1. In this case, −2i-2i means you are subtracting twice the imaginary unit.
- Write out the number:
The number 4−2i4 – 2i is a standard representation of a complex number where:- 4 is the real component,
- −2i-2i is the imaginary component.
- Understanding the mathematical operations:
If this complex number resulted from a process, you might have performed operations like addition, subtraction, or multiplication involving other complex numbers. However, without further context or an equation, the complex number 4−2i4 – 2i is already in its simplest form. - Using 4−2i4 – 2i in operations:
When performing operations with complex numbers (e.g., addition, subtraction, or multiplication), treat the real and imaginary parts separately. For instance, if adding two complex numbers, add the real parts together and the imaginary parts together.
To summarize:
The number 4−2i4 – 2i is simply a complex number where the real part is 4, and the imaginary part is −2i-2i. The expression is already in standard form and requires no additional steps unless part of a larger calculation or operation.