1. Chapter 5.6: Radical Expressions Standard & Honors
Algebra II Mr. Gilbert
Chapter 5.6: Radical Expressions
Standard & Honors
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2. Agenda Warm-up (next slide) Review Homework Return Class work Lesson
Check your answers
Review Homework
Return Class work
Lesson
Homework
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3. Class Work: Warm-up 5.6 (3 min.)
Work on your own, silently. Write your name on the top of the sheet, turn in when done.
Factor Completely
(x2-81) =
(2x2 +18x +16) =
x4-1 =
Find the product:
(x+1)(2x2-3x+1) =
(2n2 -3)(n2+5n -1) =
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4. Class Work: Warm-up 5.6 (3 min.)
Work on your own, silently.
Factor Completely, assume no denominator is equal to 0.
(x2-81) = (x+9)(x-9)
(2x2 +18x +16) = (2)(x+1)(x+8)
x4-1 = (x2+1)(x+1)(x-1)
Find the product:
(x+1)(2x2-3x+1) = 2x3 –x2-2x+1
(2n2 -3)(n2+5n -1) = 2n4+10n3-5n2-15n+3
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5. Topic: 5.6 Radical Expressions
Example 1 Square Root of a Product (2)
Example 2 Simplify Quotients (3)
Example 3 Multiply Radicals (2)
Example 4 Add and Subtract Radicals (2)
Example 5 Multiply Radicals (3)
Example 6 Use a Conjugate to Rationalize (3) a Denominator
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Lesson 6 Contents

6. Factor into squares where possible.
Simplify
Factor into squares where possible.
Product Property of Radicals
Answer:
Simplify.
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Example 6-1a

7. Simplify
Answer:
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Example 6-1b

8. Simplify Quotient Property Factor into squares. Product Property
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Example 6-2a

9. Rationalize the denominator.
Answer:
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Example 6-2b

10. Rationalize the denominator.
Simplify
Quotient Property
Rationalize the denominator.
Product Property
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Example 6-2c

11. Multiply.
Answer:
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Example 6-2d

12. Simplify each expression.b.
Answer:
Answer:
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Example 6-2e

13. Product Property of Radicals
Simplify
Product Property of Radicals
Factor into cubes.
Product Property of Radicals
Answer:
Multiply.
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Example 6-3a

14. Simplify
Answer: 24a
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Example 6-3b

15. Simplify Answer: Factor using squares. Product Property Multiply.
Combine like radicals.
Answer:
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Example 6-4a

16. Simplify
Answer:
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Example 6-4b

17. Simplify F O I L
Product Property
Answer:
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Example 6-5a

18. Simplify
FOIL
Multiply.
Answer:
Subtract.
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Example 6-5b

19. Simplify each expression. a.b.
Answer:
Answer: 41
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Example 6-5c

20. Simplify Multiply by since is the conjugate of FOIL
Difference of squares
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Example 6-6a

21. Multiply.
Answer:
Combine like terms.
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Example 6-6b

22. Simplify
Answer:
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Example 6-6c

23. Homework Review
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24. Homework See Syllabus 5.6 p. 254: 15 - 30 multiples of 3; 31,32,
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25. Homework - Honors See Syllabus 5.6
pp. 254 – 255: (multiples of 3), 49-55
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