1 / 10

7.1 nth Roots and Rational Exponents

7.1 nth Roots and Rational Exponents. p. 401 What is a quick way to tell what kind of real roots you have? How do you write a radical in exponent form? What buttons do you use on a calculator to approximate a radical? What is the difference between evaluating and solving?. Real nth Roots.

tulia
Télécharger la présentation

7.1 nth Roots and Rational Exponents

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. 7.1 nth Roots and Rational Exponents p. 401 What is a quick way to tell what kind of real roots you have? How do you write a radical in exponent form? What buttons do you use on a calculator to approximate a radical? What is the difference between evaluating and solving?

  2. Real nth Roots Let n be an integer greater than 1 and a be a real number. If n is odd, then a has one real nth root. If n is even and a > 0, then a has two real nth roots. If n is even and a = 0, then a has one nth root. If n is even and a < o, then a has no real nth roots.

  3. Find the indicated real nth root • n = 3, a = −125 • n = 4, a = 16

  4. Rational Exponents Let a1/n be an nth root of a, and let m be a positive integer.

  5. Evaluate the expression with Rational Exponents • 93/2 • 32-2/5

  6. Using a calculator to approximate a root Rewrite the problem as 53/4 and enter using ^ or yx key for the exponent.

  7. Solve the equation using nth roots. • 2x4 = 162 x4 = 81 x4 = 34 x = ±3 • (x − 2)3 = 10 x ≈ 4.15

  8. Turn to Page 403 • Evaluating a model with roots. • Solving an equation using an nth root.

  9. What is a quick way to tell what kind of real roots you have? Root is odd, 1 answer; root is even, 1 or 2 real answers. • How do you write a radical in exponent form? Use a fraction exponent (powers go up, roots go down) • What buttons do you use on a calculator to approximate a radical? Root buttons • What is the difference between evaluating and solving? Evaluating simplifies; Solving finds answers x=.

  10. Assignment • Page 404, 13-61 odd To get credit for doing the problem, you must show the original problem along with your answer unless it is a calculator problem (41-51)

More Related