An Imaginary Number is represented as x i, where 'x' is any real number and 'i' represents the constant whose Square is always -1. This constant 'i' may not be used in normal number system because of its imaginary nature. This Complex Number 'i' is purely algebraic or we can say it a number because it obey all the rules used in the mathematics. There is an imaginary Numbers chart which is discussed below:

Power of i: When we put power 0, 1, 2... on 'i' then we will get some results which are shown in this chart:

i |
1 |

i |
i |

i |
-1 |

i |
-1*i = -i |

i |
-i |

So on |
So on |

Even power of 'i' will always be 1 or -1 while odd powers will be in i or -i. On basis of this chart we can easily calculate imaginary numbers or complex numbers.

**Property of 'i':** This property defines the complex unit of 'i', that is i^{2} = -1. Let us see the example for this, 6i * 4i = 24 (-1) = -24, here the factor i^{2} changes the sign which shows negative and positive form of product or we can say the result of equation.

**Negative radical:** When radical is negative then it is in form of negative roots. As, √-x where x > 0. There is an example of negative radical: $\sqrt{-5}$ = $\sqrt{(-1 * 5)}$ = I $\sqrt{5}$.

Real and imaginary numbers of an equation are calculated by arranging it in form of real to real and imaginary to imaginary by complex conjugates. The product of a Complex Conjugate pair is always equals to sum of square of component. As, (x + yi) (x - yi) = x^{2} – y^{2}i^{2} = x^{2} + y^{2}.