1 / 12

5.6.1 – Square Root Method

5.6.1 – Square Root Method. Recall, we solved “quadratic equations” when we set a polynomial equation equal to 0 Example. x 2 + 5x + 6 = 0. In some cases, we can use a special method to solve the equations So far we have used factoring, calculators, quadratic equation.

dixie
Download Presentation

5.6.1 – Square Root Method

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. 5.6.1 – Square Root Method

  2. Recall, we solved “quadratic equations” when we set a polynomial equation equal to 0 • Example. x2 + 5x + 6 = 0

  3. In some cases, we can use a special method to solve the equations • So far we have used factoring, calculators, quadratic equation

  4. Properties of Square Roots • Before we start to solve them using the new method, there are some basic properties of square roots we should know • Product Property; • Quotient Property; • In a fraction, you may not have a radical in the denominator (bottom)

  5. Simplifying/Rationalizing • To simplify a radical expression, we will look for any perfect square roots we could pull out • Perfect Roots = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121,… • If there are no perfect roots to pull out, then the expression is considered simplified

  6. Example. Simplify • Perfect root that is a factor of 18? • Example. Simplify

  7. Example. Simplify • Example. Simplify

  8. Rationalizing • If a fraction has a square root in the denominator, we will eliminate the radical by rationalizing • For a number a, = a • To eliminate the radical, multiply top and bottom by the radical itself • Be sure to simplify the top as necessary

  9. Example. Simplify the expression • Example. Simplify the expression

  10. Example. Simplify the expression • Example. Simplify the expression

  11. Simplify the following expressions together. • 1) • 2) • 3) • 4)

  12. Assignment • Pg. 258 • 18 – 44 even

More Related