1 / 23

Mastering Radical Expressions: Simplify, Multiply, and Rationalize Efficiently

Explore the simplification, product property, and quotient property of radical expressions. Learn to rationalize the denominator and work with adding, subtracting, multiplying radicals to obtain the simplest radical form. Practice the distributive property and FOIL method for multiplying radicals efficiently.

jvictoria
Download Presentation

Mastering Radical Expressions: Simplify, Multiply, and Rationalize Efficiently

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. Simplifying Radical Expressions

  2. For any numbers a and b where and , Product Property of Radicals

  3. Product Property of RadicalsExamples

  4. Examples:

  5. Examples:

  6. For any numbers a and b where and , Quotient Property of Radicals

  7. Examples:

  8. Examples:

  9. Rationalizing the denominator Rationalizing the denominator means to remove any radicals from the denominator. Ex: Simplify

  10. Simplest Radical Form • No perfect nth power factors other than 1. • No fractions in the radicand. • No radicals in the denominator.

  11. Examples:

  12. Examples:

  13. Adding & Subtracting radicals We can only combine terms with radicals if we have like radicals

  14. Examples:

  15. Examples:

  16. Multiplying radicals - Distributive Property

  17. O F L I Multiplying radicals - FOIL

  18. O F L I Examples:

  19. O F L I Examples:

  20. Binomials of the form where a, b, c, d are rational numbers. Conjugates

  21. The product of conjugates is a rational number. Therefore, we can rationalize denominator of a fraction by multiplying by its conjugate.

  22. Examples:

  23. Examples:

More Related