Upcoming SlideShare
×

May 5, 2014

215 views

Published on

Published in: Technology
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
215
On SlideShare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
4
0
Likes
0
Embeds 0
No embeds

No notes for slide

May 5, 2014

1. 1.  Review for Quadratics re-take Tomorrow  Radical Operations  Class/Home Work Today: May 5, 2014
2. 2. Quadratic Formula Review - 6 = -8x – 6x2 6x2 + 8x – 6 = 0
3. 3. Quadratic Formula Review w(w + 5) = 50 w2 + 5w – 50 = 0 width = 5; length = 10
4. 4. 4x2 – 4 = 26 x = + Quadratic Formula Review -1 – 5m2 = - 23 Can there be a solution to this problem? m2 = • x = +
5. 5. Class Notes Section of Notebook
6. 6. Simplifying Radical Expressions by Multiplying or Dividing
7. 7. Simplifying Radicals Notice that these properties can be used to combine quantities under the radical symbol or separate them for the purpose of simplifying square-root expressions. Separate Combine A square-root expression is in simplest form when the radicand has no perfect- square factors (except 1) and there are no radicals in the denominator.
8. 8. Simplifying Radicals Simplify the expression.
9. 9. Simplifying Radicals w/Variables 32x5y3z2 =Practice:Review: 25 x 17 27x12 x x 8 3 3x x 6 7 3 16x x Bronze Level Silver Level Gold Level 3 2 2 2 2x x x x x x x x x x x x x 3 2 2 2 2x x x x x x x x x x x x x 2 2 3x x x x x x x 6 4 3x x 4x2yz xy
10. 10. If a fraction has a denominator that is a square root, you can simplify it by rationalizing the denominator. To do this, multiply both the numerator and denominator by a number that produces a perfect square under the radical sign in the denominator. Multiply by a form of 1. Rationalizing the Denominator
11. 11. Simplify the expression. Multiply by a form of 1. Rationalizing the Denominator
12. 12. Simplify by rationalizing the denominator. Multiply by a form of 1.
13. 13. Rationalizing a Binomial Denominator Big picture: To remove the radical, we multiply the binomial by another binomial (FOIL) called its conjugate. The conjugate is simply the same binomial with the sign changed between terms.
14. 14. Multiply the Conjugates Conjugates x2 = 9 20 9 – 20 = -13 Practice: 8 – 14 = -6