1 / 9

Adding, Subtracting, and Multiplying Radical Expressions

Adding, Subtracting, and Multiplying Radical Expressions. Section 8.4 MATH 171-460 Mr. Keltner. Adding & Subtracting Like Radicals. Recall that terms such as 8 x 2 and -5 x 2 are considered like terms because they have identical variable parts.

darius-padilla
Télécharger la présentation

Adding, Subtracting, and Multiplying Radical Expressions

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. Adding, Subtracting, and Multiplying Radical Expressions Section 8.4 MATH 171-460 Mr. Keltner

  2. Adding & Subtracting Like Radicals • Recall that terms such as 8x2 and -5x2 are considered like terms because they have identical variable parts. • When we combine like terms, we simply combine their coefficients, such as 8x2 + (-5x2) = 3x2. • Like radicals are ones that have the same index and radicand. • Example: and are like radicals.

  3. Example 1:Simplifying Like Radicals • Simplify.

  4. Un-Like Radicals: What to do? • If radicals do not happen to be like radicals, try simplifying each radical term first. • It may just work out that the radicals had more in common than it first appeared.

  5. Example 2: Simplifying Un-Like Radicals • Simplify, assuming all variables represent nonnegative values.

  6. Simplifying using other strategies • We can also simplify radical expressions by: • Using the Distributive Property • Multiplying a conjugate pair (quantities that are the same except for the sign between terms, such as (8-√3) and (8+√3). • Squaring a binomial in the form (a + b)2 • FOIL-ing a pair of binomials

  7. Example 3:Multiplying Expressions • Multiply each expression and simplify.

  8. Expressions with Mixed Operations • In some instances, it may be necessary to simplify an expression with any combination of addition, subtraction, multiplication, and division. • It is best to simplify using the Product and Quotient properties first. • Example 4: Simplify the expression:

  9. Assessment Pgs. 572 - 575: #’s 7 - 98, multiples of 7

More Related