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.

Solved Example on Real Part

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.]

Related Terms for Real Part

• Axis
• Coefficient
• Complex Numbers
• Element
• Imaginary Axis
• Imaginary Number
• Ordered Pair
• Real Number

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