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Page 81
9.3Multiplying Radicals
Page 82
Page 83Lesson Objectives Standards Lesson Notes
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9.3 Operations with Radicals
Multiplying
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Lesson Objectives
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Lesson NotesStandards
N.RN.3 I will determine if a radical is rational or irrational A.SSE.2 I will rewrite a radical expression in simplest form A.SSE.2 I will rewrite a basic radical into simplest form A.SSE.2 I will add multiple expressions
Lesson Objectives Standards
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Lesson Notes
N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Multiplying Radicals
Coefficients can be multiplied OR radicands can be multiplied.
You cannot multiply a coefficient by a radicand.
Outers stay outInners stay inSimplify if possible
63
30
5 7
21
Examples:
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102
20
2 6
124 52 5
12 2 524 5
Multiplying Radicals
812( ) =81
a) b) Simplify.
Simplify by finding perfect squares.
1. 2.
4.3.
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5. 6.
10.9.
Multiply each radical and simplify completely.
7. 8.
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Multiply each radical and simplify completely.
11. 12.
On Your Whiteboards
On the Worksheet
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HomeworkHomeworkHomework
Use perfect squares.
1. 2.
3. 4.
149162536496481100121144169196225
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When multiplying radicals, multiply outer numbers and keep them outside. Multiply inner numbers and keep them inside. Then you need to simplify the radical if possible.
5. 6.7. 8. 1
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9. 10. 149162536496481100121144169196225
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11. 12.149162536496481100121144169196225
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13. 14.149162536496481100121144169196225
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16.15. 149162536496481100121144169196225
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149162536496481100121144169196225
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Add or subtract – BREAK DOWN FIRST
17. 18.149162536496481100121144169196225
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Add or subtract – BREAK DOWN FIRST
19. 20.
Add or subtract – BREAK DOWN FIRST 149162536496481100121144169196225
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21. 22.
Add or subtract – BREAK DOWN FIRST149162536496481100121144169196225
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23. 24.
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Name the transformation in each function from f(x) = x.
25. g(x) = x + 7
26. g(x) = x – 1
27. g(x) = –x + 4
28. Which line is steeper?
a) f(x) = 2x + 1 b) g(x) = x + 5
29. Which line is steeper?
b) g(x) = 3x + 1
Rewrite each expression using only POSITIVE exponents. Answers should be FRACTIONS.
30. (yn)–5
Rewrite each expression using only POSITIVE exponents. Answers should be FRACTIONS.
32. (2a6b–9)(5a5b2)
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Rewrite each expression using only POSITIVE exponents. Answers should be FRACTIONS.
35. m11m2
ANSWERS:
