Respuesta :
√-1. the i represents an imaginary number where you take the square root of -1.
Answer:
i = [tex]\sqrt{-1}[/tex]
Step-by-step explanation:
A complex number is that one having two parts:
- One called real part, represented by a.
- And another called imaginary part, represented by bi, where b is also a real number plus i, as it was describe in the answer [tex]i = \sqrt{-1}[/tex].
Although [tex]i =\sqrt{-1}[/tex], it is also [tex]i^{2} = -1[/tex], which has some interesting properties like [tex]i^{3}[/tex] = [tex]i * i^{2}= i * -1 = -i [/tex] , and so on.
These numbers came along when it was necessary to take the squared root of negative numbers:
[tex]\sqrt{-4} = \sqrt{-1} * \sqrt{4} = 2i ; -2i[/tex] .
