Transcript 11.4 Multiplying & Dividing Radical Expressions

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
35
5
8 
32

7
Conjugate Practice
• #1
#2
11
2
5  10
8

6
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?