And so if I multiply a complex number.

So what is z sub one times z sub two?

So this is just going to be equal to c squared minus d i squared. d i squared.

Right?

Well that's cbi.

Let's say, in theory, I multiply a complex number c plus di times c minus di.

What do I get?

What happens if we do something very similar with a complex number?

Right?

So what happens if I divide z sub one by z sub two?

Right?

So ac.

I get c squared minus di squared.

And b is d i, right?

Well that equals this, a plus bi, plus this is z sub two right here c plus di.

And the sign for conjugate is that line over the top.

And let's say that I have another complex number, c plus di.

And, in general, this number if we call this well, in our example this was ztwo, so if we say that ztwo equals c plus d i, the quantity c minus d i is called its conjugate.

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The water of the water supply is dangerous.

Tap water is dangerous.

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Mulwray had salt water in his lungs.

This lake in Bolivia

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And I remember that because di often is a prefix associated with having two of something, and so you have twice the number of chromosomes.

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Where have essentially, you have an equal amount and very

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Water tries to find its own level.

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