1. Mathematical Practices
Content Standards
A.SSE.2 Use the structure of an expression to identify ways to rewrite it.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
CCSS

2. rationalizing the denominator like radical expressions conjugate
Vocabulary

3. Concept

4. Factor into squares where possible.
Simplify Expressions with the Product Property
Factor into squares where possible.
Product Property of Radicals
Simplify.
Answer:
Example 1

5. Product Property of Radicals
Simplify Expressions with the Product Property
Factor into cubes.
Product Property of Radicals
Simplify.
Answer:
Example 1

6. A. Simplify A. B. C. D.
Example 1

7. Concept

8. A. Quotient Property Factor into squares. Product Property
Simplify Expressions with the Quotient Property A.
Quotient Property
Factor into squares.
Product Property
Example 2

9. Rationalize the denominator.
Simplify Expressions with the Quotient Property
Rationalize the denominator.
Answer:
Example 2

10. Rationalize the denominator.
Simplify Expressions with the Quotient Property
Quotient Property
Rationalize the denominator.
Product Property
Example 2

11. Multiply. Answer: Simplify Expressions with the Quotient Property
Example 2

12. Concept

13. Product Property of Radicals
Multiply Radicals
Product Property of Radicals
Factor into cubes where possible.
Product Property of Radicals
= 5 ● 10 ● a or 50a Multiply.
Answer: 5 ● 10 ● a or 50a
Example 3

14. Answer: Factor using squares. Product Property Multiply.
Add and Subtract Radicals
Factor using squares.
Product Property
Multiply.
Combine like radicals.
Answer:
Example 4

15. Simplify . F O I L Product Property Answer: Multiply Radicals
Example 5

16. Use a Conjugate to Rationalize a Denominator
GEOMETRY In a square with side a, the ratio of a side to the difference between the diagonal and a side is Use a conjugate to rationalize the denominator and simplify .
Example 6

17. Multiply. Simplify. Factor out the GCF.
Use a Conjugate to Rationalize a Denominator
Multiply.
Simplify.
Factor out the GCF.
Example 6

18. Use a Conjugate to Rationalize a Denominator
Simplify.
Example 6