Page 515 - Algebra 1

L E S S O N Multiplying Radical Expressions 76
Warm Up
New Concepts
1. Vocabulary A is an expression that contains a radical. (61)
Simplify.
2. √ 50 ,00 0
(61)
4. 2√ 8 - 3√ 32 (69)
This means, for example, that √(8)(2) is the same as Simplifying Radical Expressions
Simplify. All variables represent non-negative real numbers.
3. √ 10 8 (61)
5. 2√ 18 + 4√ 30 0 - √ 72 (69)
Product Property of Radicals
The square root of a product equals the product of the square roots of the factors.
√ ab = √ a √ b where a ≥ 0 and b ≥ 0.
Math Reasoning
Generalize Why must a and b be greater than or equal to zero when finding √a √ b?
√ √
8 2.
Example
1
Online Connection www.SaxonMathResources.com
a. √ 8 √ 2 SOLUTION
√8 √2 = √1 6 = 4
b . 6 √ 2 4 √ 3 SOLUTION
6 4√2 · 3 = 24√6
c. (6 √ 3 )2 SOLUTION
( 6 √ 3 ) 2
= (6)2(√3 )2 = 36√9
= 36 3
= 108
Use the Product Property of Radicals. Simplify.
Use the Product Property of Radicals. Simplify.
Power of a Product Property Square each factor. Simplify.
Multiply.
500 Saxon Algebra 1