# Arithmetic/Types of Numbers/Imaginary Number

Jump to navigation Jump to search

## Imaginary Number

An imaginary number is a number whose square is less than zero.

e.g.

${\displaystyle i={\sqrt {-1}}}$

## Conjugate Number

${\displaystyle -i=-{\sqrt {-1}}}$

## Rules

1) i + i = 2i

2) i - i = 0

3) i x i = -1

4) i / i = 1

5) i + (-i) = 0

6) i - (-i) = 2i

7) i x (-i) = -i2 = 1

8) i / (-i) = -1