AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Simplifying Different Types of Radical Expressions

No votes yet

SIMPLIFYING RADICALS Simplest form Similar radicals 2nd level ? Simplifying powers Factors?of the radicand Fractional radicand WE SAY THAT A SQUARE ROOT RADICAL?is?simplified, or in its?simplest form, when the?radicand?has no?square?factors. A radical is also in simplest form when the radicand isnot a fraction. Example 1.???33, for example, has no square factors. ?Its factors are 3??11, neither of which is a square number. ?Therefore,??is in its simplest form. Example 2.???18 has the square factor 9. ?18 = 9??2. ?Therefore,??is not in its simplest form.? To put a radical in its simplest form, we make use of this theorem: The square root of a product? is equal to the product of the square roots? of each factor. (We will prove that when we come to?rational exponents, Lesson 29.

Wait just a minute here...

In order to access these resources, you will need to sign in or register for the website (takes literally 1 minute!) and contribute 10 documents to the Course-Notes.Org library. Until you contribute 10 documents, you'll only be able to view the titles of the uploaded documents.

  • Unlock Course-Notes.org

    Gain access to members only, premium content that includes past essays, DBQs, practice tests, term papers, homework assignments and other vital resources for your success!
  • Interact with other members

    Receive feedback from the Course-Notes.Org community on your homework assignments
  • Participation = Points

    Earn points for by contributing documents to the library, helping other members, writing informative blog posts, and voting in polls!

There are over 10,000 documents that have been added to the Members Only section that you won't find anywhere on this site or on the interwebs, for that matter. In order to access these resources, you will need to register for the website (takes literally 1 minute!) and earn 100 cnote$ (use the table above to figure that out). Until you contribute earn 100 cnote$, you'll only be able to view the titles of the uploaded documents and some teaser text.

Get started right now!

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!