3 Imaginary Part

5 Squared Imaginary Part

Imaginary part is 2

Imaginary part is 4.

It has a real part and an imaginary part.

And now what's our new imaginary part?

And this part right here is imaginary.

So it's 3, and its imaginary part, minus 4 in the imaginary direction.

So the real part is a, the imaginary part is bi.

We have a real part, and we have an imaginary part.

And this will be the new imaginary part.

Its imaginary part is minus 4 right there.

You can see the imaginary part is canceling out.

It has an imaginary part of 2 times i.

And then our imaginary part is a positive 2.

And that times i, and that's the imaginary part.

Actually, let me make that clear has a real part and an imaginary part.

You take the imaginary part, minus 2i, minus 2, right?

Take the imaginary part squared so let me write this.

A complex number is a number that has a real part or an imaginary part.

And our vertical axis is going to be the imaginary part.

So you can't merge, when you're adding and subtracting, the real part to the imaginary part.

And it's imaginary part is twoi, so you go along the imaginary axis, or the i axis you could even say, two.

Imaginary coefficient

Imaginary Princess.

Seven times i is in imaginary number, so there's no real part to this.

We have no imaginary part, really. So this is just a complex version of it.

And that's how we got this thing over here, where we have a nice real part and a nice imaginary part.

It's just imaginary.

And the imaginary part is negative 4, so we've gone down 4 along the vertical axis.

Dragons are imaginary animals.

Is it just imaginary?

But what this does is it allows us to get rid of the imaginary part in the denominator.

And so a number that has a real part, like the five, and an imaginary part, like the twoi, this is called a complex number.

Now, without having to draw it, one way you could just think about this is I'll have my real part. I have my imaginary part.

They are imaginary musical instruments.

But with that said, any number times this imaginary unit i is an imaginary number.

The dragon is an imaginary creature.

The dragon is an imaginary creature.

And what are our imaginary parts?

If you started with this, and changed the sign of the imaginary part, you would get seven minus five i.

It's not imaginary I told you it's...

little poufy body, a little imaginary character.

That is me playing my imaginary piano.

It has the same real parts, so the conjugate of this is going to have the exact same real part, but its imaginary part is going to have the opposite sign.