1 / 12

5.5 Roots of Real Numbers

5.5 Roots of Real Numbers. Alg 2. Finding the square root of a number and finding the square of a number are opposite (inverse) operations of each other. 7 2 = 49. 5 3 = 125. Some numbers have more than one real n th root. For example 36 has two square roots, 6 and -6

livia
Download Presentation

5.5 Roots of Real Numbers

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. 5.5 Roots of Real Numbers Alg 2

  2. Finding the square root of a number and finding the square of a number are opposite (inverse) operations of each other 72 = 49 53 = 125

  3. Some numbers have more than one real nth root. For example 36 has two square roots, 6 and -6 The non-negative root is called the Principal Root Principal root Negative Principal root Both roots

  4. Radical sign Index Radicand

  5. Simplify

  6. Simplify

  7. Simplify

  8. Simplify Answer: n is even and b is negative. Thus, is not a real number. (your calculator will give you an error message “nonrealans”)

  9. Simplify. a. b. c. d. Answer: Answer: 3x4 Answer: 2xy2 Answer: not a real number

  10. Simplify Answer: Note that t is a sixth root of t6. The index is even, so the principal root is nonnegative. Since t could be negative, you must take the absolute value of t to identify the principalroot.

  11. Simplify Answer: Since the index is odd, you do not need absolute value.

  12. Original formula Physics The time T in seconds that it takes a pendulum to make a completeswing back and forth is given by the formula , where L is the length of the pendulum in feet and g is the acceleration due to gravity, 32 feet per second squared. Find the value of T for a 1.5-foot-long pendulum. Solve Use a calculator. Answer: It takes the pendulum about 1.36 seconds to make a complete swing.

More Related