1. Martin-Gay, Developmental Mathematics 1 Warm-Up #8 (Monday, 9/21)

2. Martin-Gay, Developmental Mathematics 2 Homework (Monday 9/21) Rationalize the denominators worksheet Advanced: front #1-10 ALL, back #1-2 Regular: front #1-8 ALL, back #1

3. Multiplying and Dividing Radicals

4. Martin-Gay, Developmental Mathematics 4 If and are real numbers, Multiplying and Dividing Radical Expressions

5. Martin-Gay, Developmental Mathematics 5 Simplify the following radical expressions. Multiplying and Dividing Radical Expressions Example

6. Martin-Gay, Developmental Mathematics 6 If we rewrite the expression so that there is no radical in the denominator, it is called rationalizing the denominator. Rationalizing the denominator is the process of eliminating the radical in the denominator. Rationalizing the Denominator

7. Martin-Gay, Developmental Mathematics 7 Rationalize the denominator. Rationalizing the Denominator Example

8. Martin-Gay, Developmental Mathematics 8

9. 9 If the denominator contains a radical and it is not a monomial term, then the use of a conjugate is required. conjugate

10. Martin-Gay, Developmental Mathematics 10 conjugate

11. Martin-Gay, Developmental Mathematics 11 Many rational quotients have a sum or difference of terms in a denominator, rather than a single radical. need to multiply by the conjugate of the denominator The conjugate uses the same terms, but the opposite operation (+ or  ). Conjugates

12. Martin-Gay, Developmental Mathematics 12

13. Martin-Gay, Developmental Mathematics 13 Rationalize the denominator. Rationalizing the Denominator Example

14. Martin-Gay, Developmental Mathematics 14