Complex Numbers – Basic Operations

Complex Numbers - Basic Operations

Complex Numbers – Basic Operations

This algebra 2 video tutorial explains how to perform operations using complex numbers such as simplifying radicals, adding and subtracting complex numbers, simplifying it in standard form, graphing complex numbers and calculating the absolute value of complex numbers. This video contains plenty of examples and practice problems. It’s useful for students taking algebra 2, precalculus or college algebra.

Here is a list of topics:
1. Simplifying Radicals and Square Roots – Complex Numbers
2. Standard Form of Complex Numbers – a+bi
3. Graphing Complex Numbers – Real vs Imaginary Axis
4. Adding and Subtracting Complex Numbers
5. Multiply and Dividing Complex Numbers
6. Operations With Imaginary Numbers – Addition, Subtraction, Multiplication and Division
7. Simplifying Complex Numbers With Large Exponents
8. Absolute Value Formula of Complex Numbers
9. i, i^2, i^3, and i^4 Values
10. Complex Numbers – Multiplying By The Conjugate
11. Complex Imaginary Numbers – Using The Distributive Property
12. Foiling With Complex Numbers
13. Solving Quadratic Equations With Complex Imaginary Numbers
14. Factoring Quadratic Equations With Complex Numbers
15. Using The Quadratic Formula to Solve Quadratic Equations With Imaginary Solutions
16. Solving Linear Equations With Complex Numbers
17. Factoring Quadratic Equations With Fractions
18. Writing The Quadratic Equation Giving The Complex Roots or Imaginary Solutions / Zeros
19. Foiling Technique to Find Quadratic Equation Given Complex Numbers
20. Factoring Using Complex Conjugates
21. Sum and Product of Roots Given Quadratic Equation

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26 Responses to “Complex Numbers – Basic Operations”

  1. Rosé's official husband says:

    Feeling that I should pay the expensive tuition fee to this guy but not the god damm university…

  2. amy hsu says:

    24:32 why is it 9i over here? Isn't it supposed to be a 3i?

  3. Philip Danso says:

    Thanks alot for this video, God bless u bro….

  4. Janeth Flores says:

    This is really helpful though there some error, and I understand. This is not easy to take video lessons that is quite long, it cannot be avoided to have a small mistake. I salute the person who took time to share his knowledge for everyone to watch and learn that could be of help specially in this time of pandemic.

  5. Indy Pelzl says:

    Shout out to this guy

  6. Kelton says:

    I’m 11 years old and I understand calculus cause of you!

  7. Life Time!!! says:

    I am not able to get membership of this channel and any paid video, but I just want to say you, sir, Thank you very much, You really saves many lives and I am One of them, The online classes are like shit, but sir your lectures is really make sense to understand, I am Thankful to you, Thank you very much. You are the best teacher in this whole world, Thank you very much, I was not able to study and One day I see your video and I just think you are only the best teacher for me, from beginning to last you put video and I was like dumb and not know anything, I just started from pre-algebra, and I am not dumb now, but many lessons are remaining, I think this time I really pass with my own words of theories and all hard maths sums in the exam of 12th standard, Thank you Very Much.

  8. dostonbek kodirbekov says:

    24:30 square root of 9 is 3 bro )))

  9. Infamous Noor says:

    How do you get the fourth root of 81i, I looked everywhere and I can’t find an answer

  10. MoonMoon Light says:

    Thank you so much!!!

  11. Ferid TechHub says:

    I dont know how i can show u my respect and admiration i have for you. I am so thankful. I will be your premium user when i graduate.

  12. Donkey Kong says:

    BTW just going to point out a good amount in your calculations where wrong please check them

  13. Murphy Nsien says:

    Why the Fuck is the video not playing???

  14. The_ Gr8kid says:

    Broo I really thank you so much for the help 😎

  15. Hauwa Nuru HABIB says:

    Thank you this helped alot

  16. Dvrk_clouds says:

    For the problem at 47:01 . Isn't the conjugate supposed to be (5-12i)? you multiplied the top and bottom of the fraction by (-5-12i). Someone please correct me if I'm mistaken, thank you.

  17. Mwansa Courage says:

    You said √-9 =√9 √-1=3i
    Now the way you have put it ….anyway thanks

  18. mark koni says:

    thank u sooooo much!!! I LOVE ur vids, they are so helpful!!!

  19. Suong Thol says:

    good video

  20. Divine Samuel says:

    This is very very effective, and I am so glad to have listened to your tutorial. It has really helped me. Thank you so very much @The Organic Chemistry Tutor.
    God bless you!!

  21. C3 DEV says:

    sqrt(-9) = 3i not 9i

  22. Thresty Torres says:

    24:53 the square root of -9 is 3i

  23. aleck cons says:

    24:50 the answer should be 11- 9i

  24. Kidus Getahun says:


  25. Anishka HC says:

    I love you im passing because of you

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