And that's the complex conjugate.

So that right there is the complex conjugate of seven minus five i.

We're asked to find the conjugate of the complex number seven minus five i.

you'll see z is the variable people often use for complex numbers if z is seven minus five i, then they'll say complex conjugate of z,

Can you conjugate this verb?

And what you're going to find in this video is finding the conjugate of a complex number is shockingly easy.

Or when you take the conjugate.

Now you're probably saying ok, fairly straightforward to find a conjugate of a complex number, but what is it good for?

It is complex. Space is complex.

And I want to emphasize, this right here is the conjugate seven plus five, is the conjugate of seven minus five i.

Very complex processes with very complex chemicals that fit into very complex receptors.

How complex?

Complex number

Complex Brush

Complex number

Lying's complex.

So the conjugate of ztwo is c minus d i.

It's time for a mental health day. So conjugate this

These are complex things built with complex parts that come together in complex ways.

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

If we multiply both the numerator and the denominator of this expression by the complex conjugate of the denominator, then we will have a real number in the denominator.

It's immensely complex.

It's immensely complex.

Running Kolzer complex.

For anything more complex, you should use the complex syntax.

Let's multiply the numerator and the denominator by the conjugate of this.

So this was c plud d i, so this is its conjugate.

This isn 't called complex because the syntax is complex, but because you can include complex expressions this way.

How complex is it?

Lots of complex stuff.

These are complex issues.

Our emotions are complex.

So everything but complex.

It's inside the complex.

The endeavor is complex.

Humans are too complex.

And the simplest reason, or the most basic place where this is useful is when you multiply any imaginary, any complex number times its conjugate, you're going to get a real number.

But you would have also had some of the conjugate weak base left.

Because the conjugate is the tool we're going to use to divide this.

You know, brain surgery, atomic theory, genetics, economics are complex complex fields.

But complex 0's come in pairs of two, the two complex conjugates.

The conjugate of c plus d i is equal to c minus d i.

So the conjugate of the denominator is going to be c minus d i.

He has an inferiority complex.

Man is a complex organism.