MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C923D6.0328F880" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C923D6.0328F880 Content-Location: file:///C:/9E6945F5/M117Lesson10.5.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Lesson 10

Lesson 10.5(F&#= 8217;08)

Objectives: To rationalize the denominator.

&nbs= p; = To rationalize denominators that

have a sum or difference with a

square root.

Simplest Radical Form

1. No radicand, when expr= essed in prime factored form,

contains a polyn= omial factor raised to a power equal

to or greater th= at the index of the radical. violates this

2. No fraction appears within a radical sign. violates this

3. No radical appears in the denominator. violates this

4. All possible products, quotie= nts, sums, and <= /p>

difference= s have been found.

Express each of the following in simplest radical form. (i.e. Rationalize the denominator)

To rationalize a denominator containing a single n^th root, multiply the fr= action by a 1 so that the product’s denominator has a radicand that is a per= fect n^th power

To rationalize a denominator containing a sum or difference with at least one square root term, multiply the fraction by a l= whose numerator and denominator are the conjugates of the denominator.=

Simplify ( i.e. rationalize the denominator)

CW Worksheet Section = 10.5

Homework Math XL Sect= ion 10.5

DUE BY_______________= ____

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