Complex Numbers - Iota - Real and Imaginary Part Explained!
A Complex Number is a combination of a
Real Number and an Imaginary Number
Real numbers are Like;
1 12.38 −0.8625 3/4 √2 1998
Nearly any number you can think of is a Real Number!
Imaginary Numbers when squared give a negative result
Normally this doesn't happen, because:
when we square a positive number we get a positive result, and
when we square a negative number we also get a positive result (because a negative times a negative gives a positive), for example −2 × −2 = +4
But just imagine such numbers exist, because we will need them.
Complex Numbers
A Complex Number is a combination of a Real Number and an Imaginary Number:
a + bi
where a is real part and bi is imaginary part
Examples:
1 + i 39 + 3i 0.8 − 2.2i −2 + πi √2 + i/2
Either Part Can Be Zero
So, a Complex Number has a real part and an imaginary part.
But either part can be 0, so all Real Numbers and Imaginary Numbers are also Complex Numbers.
Complex does not mean complicated.
It means the two types of numbers, real and imaginary, together form a complex, just like a building complex (buildings joined together).