11.4 Multiply & Divide Radical Expressions Algebra 2.0

Main Idea We are using the Product and Quotient Properties of Square Roots to multiply and divide radical expressions. All your skills from 11.2 and Ch 7 will be needed.

Ex 1 Multiplying Square Roots Multiply terms together under radical Multiply terms together outside the radical Simplify

Practice

Ex 2-Using the Distributive Property Use the Distributive Property, then simplify.

Practice 2

Ex 3-Multiplying Sums & Differences Of Radicals Just like multiplying binomials, use FOIL or Punnett Square.

Practice 3

Ex 4-Rationalizing the Denominator You CAN’T have square roots in the DENOMINATOR, so you must get rid of them. This is called rationalizing the denominator. To rationalize the denominator, multiply both top and bottom by it.

Ex 4-Rationalizing the Denominator

Practice 4

Ex ???-Conjugates

CONJUGATES To eliminate a binomial radical in the denominator, multiply by the opposite binomial on top and bottom. Use FOIL or Punnett Square to multiply binomials.

Ex ???-Conjugates Ex 1 Ex 2

Conjugate Practice #1 #2

Lesson Review What is the multiplication and division property of square roots? What chapter 7 method(s) did we use when multiplying two binomials? When do we need to rationalize the denominator? What is a conjugate?