Question

The set of complex numbers is the set of all numbers of the form a + bi, where a and b are real numbers and i=

Answer 1

√-1.  the i represents an imaginary number where you take the square root of -1.

Answer 2

i =
`√(-1)`

Explanation:

A complex number is that one having two parts:

1. One called real part, represented by a.
2. And another called imaginary part, represented by bi, where b is also a real number plus i, as it was describe in the answer
   `i = √(-1)`.

Although
`i =√(-1)`, it is also
`i^(2) = -1`, which has some interesting properties like
`i^(3)` =
`i * i^(2)= i * -1 = -i` , and so on.

These numbers came along when it was necessary to take the squared root of negative numbers:

`√(-4) = √(-1) * √(4) = 2i ; -2i` .