This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Simplifying Radicals This handout is a quick overview of simplifying radicals. We will revisit this information in Chapter 10 of this textbook. Product Rule of Radicals If a and b are positive real numbers, then ab a b = We know that 64 is a perfect square and 64 8 = . We can also simplify this using the property above. 64 16 4 16 4 4 2 8 = = = = i i When dealing with radicals, not always will the number under the radical be a perfect square. Thus, we need to discuss how to simplify them. Example: Simplify 75 Solution: 75 is not a perfect square, but we can factor 75 into 25 3 i . Notice that one of the factors is a perfect square. 75 25 3 25 3 5 3 = = = i We know we are done simplifying the radical when there are no more perfect squares under the radical. Example: Simplify 8 Solution : Factor 8 into 4 2 i 8 4 2 4 2 2 2 = = = i Example: Simplify 120 Solution : Factor 120 into 4 30 i 120 4 30 4 30 2 30 = = = i Example: Simplify 2 98 Solution : Factor 98 into 2 49 i 2 98 2 2 49 2 49 2 2 7 2...
View
Full
Document
This note was uploaded on 01/13/2012 for the course MATH 52 taught by Professor Janetfrewing during the Fall '10 term at Riverside Community College.
 Fall '10
 JanetFrewing
 Radicals, Real Numbers, Simplifying Radicals, Product Rule

Click to edit the document details