# Multiplying and Dividing Radical Expressions Contributed by: OBJECTIVES:
2. Rationalize denominators with one radical term.
3. Rationalize denominators with binomials involving radicals.
4. Write radical quotients in the lowest terms.
Sec 9.5 - 1
2. Chapter 9
Functions
Sec 9.5 - 2
3. 9.5
Multiplying and Dividing
Sec 9.5 - 3
4. 9.5 Multiplying and Dividing Radical Expressions
Objectives
2. Rationalize denominators with one radical
term.
3. Rationalize denominators with binomials
4. Write radical quotients in lowest terms.
5. 9.5 Multiplying and Dividing Radical Expressions
Multiplication of expressions that contain radicals is very
similar to multiplication of polynomials.
6. 9.5 Multiplying and Dividing Radical Expressions
Multiplication of expressions that contain radicals is very
similar to multiplication of polynomials.
7. 9.5 Multiplying and Dividing Radical Expressions
Multiplication of expressions that contain radicals is very
similar to multiplication of polynomials.
FOIL Method
8. 9.5 Multiplying and Dividing Radical Expressions
Rationalize Denominators with One Radical Term
The process of removing a radical from the denominator of a
fractional expression is called rationalizing the denominator.
9. 9.5 Multiplying and Dividing Radical Expressions
Rationalize Denominators with Square Roots
Rationalize the following:
10. 9.5 Multiplying and Dividing Radical Expressions
Rationalize Denominators with Cube Roots
To rationalize a denominator with a cube root, we must
multiply the numerator and denominator by a number that will
result in a perfect cube.
11. 9.5 Multiplying and Dividing Radical Expressions
Rationalize Denominators with Binomials Involving Radicals
12. 9.5 Multiplying and Dividing Radical Expressions
Rationalize Denominators with Binomials Involving Radicals
13. 9.5 Multiplying and Dividing Radical Expressions
Rationalize Denominators with Binomials Involving Radicals
14. 9.5 Multiplying and Dividing Radical Expressions
Writing Radical Quotients in Lowest Terms
CAUTION
Be careful to factor
before writing a
quotient in lowest
terms.