Just because my phans asked

What are imaginary numbers, can sound funny but I think who invneted was a astrologist, the kind that work with sky observation but let's explain the number can be associate to groups we have the more simple the ones that count fingers and apples, the natural numbers: N

group N of the natural numbers:

0, 1, 2, 3, 4, 5, 6...

Also for some circunstances we can have that group less the "0", because for some groups we don't consider that could be empty, 0. We don't consider the negative numbers.

Group Z of the, group of positive integers:

...-3, -2, -1, 0, 1, 2, 3...

Group of Q, the group of rational numbers:

numbers that can be represented in fraction form, the periodic fraction type 0.666...

0.323232323... they are divisible by 9 or submultiple of 9 or 3.

Group of I, group of irrational numbers:

They are the part of the group real that is out of the rational, that are the

The numbers that are imperfect roots and infinite fractions when you divide an indivisible number by it like 120/7 on the calculator have an end because the screen is so big, and the root of 33, or the cube root of 2.

Group of the R, group of real numbers

R = I U Q;

And my phans asked what is the imaginary numbers the imaginary numbers are that the root (since be square root) are negative, why an astronomy scientist was thinking? So you got the roof of -16 you gonna have the imaginary number: 4i

That i is thay i² = -1.

Theorically where the imaginary numbers in a graphic? Out of the line, so all the results are the group for any X, but one imaginary number can't be in a line of a graphic.

Rute Bezerra de Menezes Gondim