1 / 12

Mastering Complex Numbers in Algebra 2

Learn to simplify radicals, perform operations with complex and imaginary numbers, rationalize denominators, and more in this comprehensive algebra unit. Practice and quiz included.

desireea
Télécharger la présentation

Mastering Complex Numbers in Algebra 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Unit 2A – Simplifying Radicals and Complex/Imaginary Numbers Honors algebra 2/Trig

  2. Unit Goals • Students will be able to: • Simplify Radicals of varying index • Add, Subtract, Multiply, and Divide Radicals • Rationalize the denominator when presented with radicals and radical expressions • Identify and simplify complex and imaginary numbers

  3. Imaginary and Complex Numbers

  4. Warm Up/Review: • because • because • We need to introduce a new number/concept for when we have a negative number under a square root.

  5. Imaginary Numbers • An Imaginary Number exists when there is a negative under a square root • We are allowed to have negative numbers under cubed roots, for example (think about it!) • We use the letter for imaginary numbers

  6. Complex Numbers Examples: • When we combine imaginary and real numbers, we get a complex number • Example: • We can add and subtract these complex numbers like we have before! • Add the corresponding numbers and imaginary coefficients

  7. Multiplying and dividing Other Operations with Complex Numbers

  8. Multiplying Complex Numbers • We will multiply complex numbers in the same manner as when we multiplied radicals (distribution, FOIL, etc.) • It is important to remember the powers of i when we multiply. • We cannot have any powers of i in our answer other than

  9. Try on your own:

  10. Division of Complex Numbers • We CANNOT have complex numbers in the denominator. • In order to get rid of them, we can multiply both the numerator and denominator by the conjugate of the denominator.

  11. More Examples

  12. Classwork/Homework QUIZ TOMORROW Page 277-278#37, 39, 41#47-60 1st Column

More Related