1 / 6

Simplifying Radical Expressions Using the Distributive Property

In this lesson, we learn how to combine radical expressions through addition and subtraction, when they share like radicands. We also explore the Distributive Property to simplify complex expressions involving radicals. Each example demonstrates step-by-step simplifications, guiding you through the process of tackling expressions like (5sqrt{2} + 3sqrt{2}) or (2sqrt{27a^5} - 4asqrt{12a^3}). Master these techniques to enhance your understanding of radical expressions and improve your algebraic skills.

aretha-reilly
Télécharger la présentation

Simplifying Radical Expressions Using the Distributive Property

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 010 Unit 6Lesson 7

  2. Radical expressions can only be combined by addition or subtraction if they have like radicands. The Distributive Property can be used to simplify such expressions. Simplify the following: 5Ö2 + 3Ö2 = (5 + 3)Ö2 = 8Ö2 -7Ö2x + 3Ö2x = (-7 + 3)Ö2x = -4Ö2x cannot be simplified because the radicals do not have like radicands 8Ö2 + 7Ö3

  3. Simplify each of the following expressions: 4Ö8 – 10Ö2 4Ö4Ö2 – 10Ö2 = 8Ö2 – 10Ö2 = -2Ö2 = 8Ö18x – 2Ö32x 8Ö9Ö2x – 2Ö16Ö2x = 24Ö2x – 8Ö2x = 16Ö2x =

  4. Simplify each of the following expressions: 3Ö12x3 – 2xÖ3x = 3Ö4x2Ö3x – 2xÖ3x 6xÖ3x – 2xÖ3x = 4xÖ3x = 2aÖ8ab2 – 2bÖ2a3 = 2aÖ4b2Ö2a – 2bÖa2Ö2a 4abÖ2a – 2abÖ2a = = 2abÖ2a

  5. Simplify each of the following: 2xÖ8y – 3Ö2x2y + 2Ö32x2y – 3Öx2Ö2y 2xÖ4Ö2y + 2Ö16x2Ö2y = = 4xÖ2y – 3xÖ2y + 8xÖ2y = 9xÖ2y

  6. Simplify each of the following: 2Ö27a5 – 4aÖ12a3 + a2Ö75a 2Ö9a4Ö3a – 4aÖ4a2Ö3a + a2Ö25Ö3a = = 6a2Ö3a – 8a2Ö3a + 5a2Ö3a = 3a2Ö3a

More Related