What are examples of non-real numbers?

Hint: In order to list out the examples of non-real numbers, first we need to know what are real numbers, their examples and opposite of that which are not real numbers which would also be called as the non- real numbers.

Complete step-by-step answer:
Real numbers are the numbers which include positive or negative numbers, which can be expressed in the decimal form and can be represented on the number lines, but does not contain imaginary numbers as they cannot be expressed on the number lines.
Some examples of the real numbers are: $ - 1,4,8,9.5, - 6,\dfrac{3}{5} $ , etc.
The numbers which are not real and are Imaginary are known as not real or non-real numbers. Non-real numbers cannot be represented on the number line.
Some of the types or examples of the non-real numbers are:
 $ \sqrt { - 2} ,\sqrt[6]{{ - 54}} $
 $ \dfrac{0}{0},\dfrac{\infty }{\infty } $
I.Complex numbers: $ 4 + i5 $ , where “i” represents iota, which is equal to $ \sqrt { - 1} $ .
II.Quaternions
III.Single complex infinity
IV.Circle at infinity
V.Infinitesimals
VI.Finite fields
VII.Rings, etc
These are some examples or types that represent non-real numbers.

Note: It’s important to know the difference between different types of numbers present in the math system.
Number lines play an important role in determining whether a number is real or non-real as the real numbers can be displayed on the number lines whereas non-real numbers cannot be represented on the number lines as they are imaginary.