2.1 Simplify Radicals Lesson
Purpose: The purpose of this assignment is to help you practice the following skills:
Today we are going to start our new unit on Radicals. Radicals may seem like a funny word, but it is what we call our roots- think square roots, cube roots, etc. "Roots" (or "radicals") are the "opposite" operation of applying exponents; we can "undo" a power with a radical, and we can "undo" a radical with a power. For instance, if we square 2, we get 4, and if we "take the square root of 4", we get 2; if we square 3, we get 9, and if we "take the square root of 9", we get 3. In mathematical notation, the previous sentence means the following:
We can raise numbers to powers other than just 2; we can cube things (being raising things to the third power, or "to the power 3"), raise them to the fourth power (or "to the power 4"), raise them to the 100th power, and so forth. To indicate some root other than a square root when writing, we use the same radical symbol as for the square root, but we insert a number into the front of the radical, writing the number small and tucking it into the "check mark" part of the radical symbol. This tucked-in number corresponds to the root that you're taking. For instance, relating cubing and cube-rooting, we have:
The "3" in the radical above is called the "index" of the radical ; the "64" is called "the radicand". Perhaps because most of radicals you will see will be square roots, the index is not included on square roots. While " 2 " would be technically correct, I've never seen it used.
Now that you've had an introduction into radicals (roots), we are going to learn how to simplify them.
Task: Complete the following.
- Print out the Blank Notes linked below.
s2_l0.8_simplify_add_subtract_radicals.pptx | |
File Size: | 447 kb |
File Type: | pptx |
Watch the following video(s), filling out your notes as you go (these will be turned in at the end of the Unit):
Video Lesson:
|
Extra Video Resources:
Simplifying Radicals: |
|
Success Criteria: Your work will be evaluated according to the following:
- - Accuracy Score from 2.1 Assignment