Recall that
[tex]i^2=1[/tex][tex]i=\sqrt[]{-1}[/tex]
i is called the imaginary number because it is not solvable.
The complex number is of the form a+ib. where a is a real number and b is a complex number.
Let use take values for a and b as follows.
[tex]a_1=6,b_1=3,a_2=10\text{ and }b_2=13.[/tex]
The complex number are 6+i3 and 10+i13.
Adding two complex numbers
[tex](6+i3)+(10+i13)=6+10+i3+i13[/tex]
[tex]=16+i16[/tex]
The point is (16,16).
The multiplication of the complex numbers 6+i3 and 10+i13 is
[tex](6+i3)\cdot(10+i13)=6\times10-3\times13+i(6\times13+3\times10)_{}[/tex]
[tex]=21+i108[/tex]
The point is (21,108).
The points on the complex plane is
