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Simplifying radicals

Simplifying radicals

Author: jasmine Royse
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Tutorial

15. Practice Problems for rationalizing with conjugates

18. space 5 divided by left parenthesis square root of 2 minus 1 right parenthesis
19. space 3 divided by left parenthesis square root of 7 minus square root of 3 right parenthesis
20. space minus 2 divided by left parenthesis square root of 6 space plus space square root of 11 right parenthesis
21. space 7 divided by left parenthesis square root of 5 space plus space square root of 13 right parenthesis end root

13. Please complete these practice problems on operations with radical expressions using the worksheet. They will be collected at the end of class

12. space square root of 5 space plus space 6 square root of 5
13. space 12 square root of 5 space minus space 3 square root of 5
14. space 3 square root of 7 space minus space square root of 63
15. space square root of 6 left parenthesis square root of 2 space plus space square root of 3 right parenthesis
16. space left parenthesis 3 square root of 11 space plus space square root of 7 right parenthesis squared
17. space left parenthesis 2 space plus space square root of 10 right parenthesis left parenthesis 2 space minus space square root of 10 right parenthesis

DAY THREE

the following should be completed on day 3, though a fourth day may be needed for students

8. Practice problems with Variables - You may work with one other person or by yourself. Write down the answers in your math worksheet. PLEASE SHOW YOUR WORK

7. space square root of 192 s squared end root
8. space square root of 50 t to the power of 5 end root
9. space minus 21 square root of 27 x to the power of 9 end root
10. space square root of 18 n end root space cross times space square root of 98 n cubed end root
11. space minus 6 square root of 15 s cubed end root space cross times space 2 square root of 75

10. Operations with Radical Expressions (10-3)

Watch this video and take notes as you go in your math notebook. On your worksheet complete the 4 problems at the end of the video.


https://drive.google.com/open?id=0B8H0fWpNcpr9MnVT...

11. Operations with Radical Expressions (10-3)

12. Here is another resource that you can use to go step-by-step in solving the problems below

Source: Purple Math

14. I know that the last part (rationalizing a denominator using conjugates) is probably the hardest part for you. So here's another short video to help you through!

DAY ONE

These first 3 components should be completed the first day.

1. Flipped lesson on Simplifying radicals

Watch this video and HIT PAUSE AT 3:15

2. Simplifying square roots - Khan academy

Watch this video and answer the questions below on the worksheet I gave you. PLEASE SHOW YOUR WORK!

3. Complete 10 practice problems. Write down any that you get wrong.

https://www.ixl.com/math/algebra-1/simplify-radica...

When you finish, partner with someone to go over problems that you both missed. Teach and learn from each other. Remember, ask 3 before me :)

4. Go back to the FIRST VIDEO (the one with my voice)

Start it at 3:16 (where we left off) and watch it until 10:47.

5. Review of everything thus far! You may work by yourself or with one other person. They will be collected at the end of class.

1. space square root of 225
2. space square root of 99
3. space 5 square root of 700
4. space square root of 8 space cross times space square root of 32
5. space 4 square root of 10 space cross times space 2 square root of 90
6. space square root of left parenthesis 16 divided by 25 right parenthesis end root

6. Removing variable factors from radicals

After watching this video, answer the questions below in your math notebook. They will be stamped and collected.

7. Go back to the first video

Please watch it from 10:48 to the end.

9. Rationalizing Denominators

https://www.mathsisfun.com/algebra/rationalize-den...


Use these steps to solve the first 5 practice problems at the bottom of the web page

DAY TWO

The next 6 components should be completed on day two

16. Grab a partner, a piece of paper, and crayons or colored pencils! Given the problem below, I need an illustration of what this problem looks like with labeled measurements.

Students are building a rectangular wooden frames for a set of a school play. The height of a frame is 6 times the width, w. Each frame has a brace that connects two opposite corners of the frame. What is a simplified expression for the length of a brace?

Hint: Pythagorean theorem

17. With the same partner, paper, and crayons or colored pencils, given the problem below, I need an illustration of this problem with labeled measurements. And I would like it colored because everything looks better colored :)

A park is shaped like a rectangle with a length 5 times its width, w. What is a simplified expression for the distance between opposite corners of the park?

18. Bonus! If you get this right, you receive two points of extra credit!

What are three fractions that you can multiply 1/left parenthesis square root of 2 space plus 3 right parenthesis

by to rationalize the denominator? Will the resulting products be the same? Explain