Algebra 2 4.4i - Complex Numbers, Part 9 - Complex Conjugates

Complex Conjugates - What they are and how to use them to divide complex numbers so that the result is in standard form.

[TheFemmegeek]

You're my hero.
After 12 years, it finally makes sense.

[derekowens]

Yes, that is exactly right. In fact, doing a F.O.I.L. on (a+bi)(a-bi) is a demonstration of exactly that. It is what we would call the "general case" rather than a specific example, because it works with any numbers for a and b.

[derekowens]

@7PunkCyber That's correct! When the imaginary part is zero, though, we don't usually call it a complex number, although what you say is correct. Every real number could be considered complex with imaginary part zero.

[madcuban]

Thank you for posting these videos. They've helped tremendously!!

[benjahnz]

Chrystal clear explanations. You have a great teaching style. Please keep doing videos.

[summerzito]

You are so awesome. I have never been able to understand this concept before. THANK

[anushkadugar]

Thanks a lot for these videos. Complex numbers make so much more sense than before

[plumpkinpatch]

oh my goodness, you are my hero! thanks so much!

[derekowens]

@Azrhei I can't tell you how I make the videos, but I can say that I have very effectively done remote tutoring with the Scriblink website, and I would recommend giving it a shot.

[QuixoticXmischief]

I love your videos! They are sooo helpful, thank you soooo much.

[philipchristiansen]

I have a bamboo pen myself as well. Could you tell me what program ur "drawing" in, because it looks awesome.
thank you in advance, and nice video.

[MustNotRead]

oh good....it's just the difference of two squares with the imaginary unit added on! phew. great video! you make "complex" numbers easier take in. thank you :)

[georgepapandreou]

(a+bi)(a+bi) stands for the complex: ( x, y ) = ( a^2-b^2, ab+ba), also written as (a^2-b^2)+(ab+ba)i and if you put a real value for a, b you get the complex number (x, y). That's what a complex number is, a pair of two reals, i is the symbol of such a pair.

[em]

sir, do you have a video about, complex numbers raised to a real number,
real number raised to a complex number, complex raised to complex, logarithm of complex numbers, trigonometric functions of complex numbers, ??? thanks for your videos!!

[frogsong]

thanks sir!!u are amazing, i understood everything u taught!a big thank you to you!!

[WLCFAANG]

ขอบคุณมากน่ะค่ะ ที่คุณไม่หวงความรู้เลย ^^

[DarkNinja]

when (a+bi)(a+bi) would it make
a^2+b^2

[ainlnya]

i wish you were my teacher T_T
my teacher let this one smart kid teach the rest of us and help him out -_-'''

[NAZMIFOUIZIL]

"excellent" explanation
thank you

[StasD]

who are the idiots who didn't like this super hot video ?