Imaginary and Real Numbers
The common differences between Imaginary and Real Numbers are:
| Feature | Imaginary Numbers | Real Numbers |
|---|---|---|
| Definition | Multiples of the imaginary unit “i” | All rational and irrational numbers |
| Representation | Expressed as a multiple of “i” (e.g., 3i) | Written on the number line |
| Square Root of -1 | Defined as “i” | Undefined |
| Square | Not positive or negative, e.g., i² = -1 | Always positive, negative or zero |
| Example | 3i, -2i, 4i² | 3, -2, √2, π, -5.4, 0 |
Imaginary Numbers
Imaginary numbers are numbers as the name suggests are the number that is not real numbers. All the numbers real and imaginary come under the categories of complex numbers. Imaginary numbers are very useful in solving quadratic equations and other equations whose solutions can not easily be found using general rules.
For example, the solution of x2 + x + 1 = 0 can easily be calculated using imaginary numbers. Let’s learn about Imaginary numbers and their properties in detail in this article.
Table of Content
- Imaginary Numbers Definition
- What is Iota or “i”?
- Rules of Imaginary Number
- Geometrical Interpretation of Imaginary Numbers
- Operations on Imaginary Numbers
- Imaginary and Real Numbers