College Algebra Discussion

MAT110 College Algebra Instructor: Alice Lee

Study Guide – Week 12

 8.5 Multiplying and Dividing Radical Expressions

 Read eText Section 8.5

 Do MyMathLab Study Plan & Quiz Me

 Key Topics:

 Multiplying and dividing radical expressions

 Rationalizing a denominator

 Weekly Discussion Guide

 Example 1: (a) √5(2 + √6) (b) 4(√12 − √27)

 Example 2: (a) (√5 + 3)(√6 + 1) (b) (7 − √3)(√5 + √2)

(c) (√10 + √3)(√10 − √3) (d) (√7 − 3) 2

 Example 4: (a) −√ 18

125 (b) √

50𝑚4

𝑝5

 Example 6: (a) 3

1+√2 (b)

5

4−√3

 9.1 The Square Root Property and Completing the Square

 Read eText Section 9.1

 Do MyMathLab Study Plan & Quiz Me

 Key Topics:

 Quadratic equation

 Square root property

 Weekly Discussion Guide

 Example 2: (b) 4𝑥2 − 48 = 0

 Example 4: Solve (𝑥 − 5)2 = 36

 Example 5: Solve (2𝑥 − 3)2 = 18