Splash Screen
Five-Minute Check (over Lesson 6–4)
CCSS
Then/Now
New Vocabulary
Key Concept: Product Property of Radicals
Example 1: Simplify Expressions with the Product Property
Key Concept: Quotient Property of Radicals
Example 2: Simplify Expressions with the Quotient Property
Concept Summary: Simplifying Radical Expressions
Example 3: Multiply Radicals
Example 4: Add and Subtract Radicals
Example 5: Multiply Radicals
Example 6: Real-World Example: Use a Conjugate to Rationalize a
Denominator
Lesson Menu
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
You simplified expressions with nth roots.
• Simplify radical expressions.
• Add, subtract, multiply, and divide radical
expressions.
Then/Now
• rationalizing the denominator
• like radical expressions
• conjugate
Vocabulary
Concept
Simplify Expressions with the Product Property
Example 1
Simplify Expressions with the Product Property
Example 1
A. Simplify
.
Example 1
Example 1
Concept
Simplify Expressions with the Quotient
Property
A.
Example 2
Simplify Expressions with the Quotient
Property
Example 2
A. Simplify
.
Example 2
B. Simplify
Example 2
Concept
Multiply Radicals
Example 3
Example 3
Add and Subtract Radicals
Example 4
Example 4
Multiply Radicals
Simplify
.
Example 5
Simplify
.
Example 5
GEOMETRY In the triangle shown with
height x, the ratio of the height to the
base is
. Use a conjugate to
rationalize the denominator and
simplify
.
Example 6
6.5 HW:
P. 419
18-52E
Homework
End of the Lesson