Answered

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4. What is the real component of [tex]$(3+4i)$[/tex]?

A. 3
B. [tex]$4i$[/tex]
C. There is no real component.
D. 4

Sagot :

GinnyAnswer
To determine the real component of the complex number [tex]\(3 + 4i\)[/tex], we need to understand that a complex number is composed of a real part and an imaginary part. The standard form of a complex number is given as [tex]\(a + bi\)[/tex], where [tex]\(a\)[/tex] is the real part, and [tex]\(bi\)[/tex] is the imaginary part with [tex]\(i\)[/tex] being the imaginary unit satisfying [tex]\(i^2 = -1\)[/tex].

In the complex number [tex]\(3 + 4i\)[/tex]:
- The term [tex]\(3\)[/tex] represents the real part.
- The term [tex]\(4i\)[/tex] represents the imaginary part.

Given this information, the real component of the complex number [tex]\(3 + 4i\)[/tex] is clearly the number [tex]\(3\)[/tex].

Therefore, the correct answer is:
3
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