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Real Part

Definition Of Real Part

The Real Part of the complex number a + ib is a.

More About Real Part

The real part of a complex number Z is denoted as Re (Z).
If Z is a complex number and  is its conjugate complex, then real part is given as

Examples of Real Part

In the complex number 5 + 7i, the real part is 5
In the complex number 2 - i, the real part is 2
In the complex number - 6 - 3i, the real part is - 6

Video Examples: Real Part

Solved Example on Real Part

Ques: Choose the real part of the complex number 36 + 2i.

Choices:

A. real part = 36i
B. real part = 36
C. real part = 2i
D. real part = 38
Correct Answer: B

Solution:

Step 1: The real part of the complex number Z = a + ib is a and imaginary part is the coefficient of i i.e., b
Step 2: The real part of the complex number 36 + 2i is 36. [The real part of the complex number a + ib is a.]