1 / 14

Mastering Multiplying and Simplifying Radical Expressions Using the Product Rule

This resource focuses on the essential techniques for multiplying and simplifying radical expressions, particularly using the product rule for radicals. By exploring various examples, this guide helps students understand perfect squares, perfect cubes, and higher powers. Emphasis is placed on recognizing integers and their roots, along with specific rules to simplify radicals efficiently. Note that these principles apply only to real numbers and come with certain restrictions. Elevate your algebra skills by mastering these concepts!

walter-hyde
Télécharger la présentation

Mastering Multiplying and Simplifying Radical Expressions Using the Product Rule

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. Math 71 7.3 – Multiplying and Simplifying Radical Expressions

  2. Product Rule for Radicals (Disclaimer: Only works when are real #s. Some restrictions apply. See stores for details.)

  3. Product Rule for Radicals Ex 1.Multiply:

  4. Product Rule for Radicals Ex 1.Multiply:

  5. Product Rule for Radicals Ex 1.Multiply:

  6. Simplifying Radicals 4, 9, 16, 25, …, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, … are _____________________ 16, 81, 256, … are____________________

  7. Simplifying Radicals 4, 9, 16, 25, …, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, … are _____________________ 16, 81, 256, … are____________________ perfect squares

  8. Simplifying Radicals 4, 9, 16, 25, …, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, … are _____________________ 16, 81, 256, … are____________________ perfect squares perfect cubes

  9. Simplifying Radicals 4, 9, 16, 25, …, 100, 121, 144, … are ___________________(squares of integers) 8, 27, 64, 125, … are _____________________ 16, 81, 256, … are____________________ perfect squares perfect cubes perfect fourth powers

  10. Simplifying Radicals Ex 2.Simplify:

  11. Simplifying Radicals Recall: If is even, . If is odd, . Note: If is nonnegative, then the first rule becomes _____.

  12. Simplifying Radicals Recall: If is even, . If is odd, . Note: If is nonnegative, then the first rule becomes _____.

  13. Simplifying Radicals Ex 3.Simplify (assume that all variables are positive real numbers).

  14. Simplifying Radicals Ex 4.Multiply and simplify (assume that all variables are positive real numbers):

More Related