6.6 Adding, Subtracting, & Multiplying Radicals.notebook

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January 12, 2016

Get Ready:

Unit 6: Exponential & Radical Functions

Lesson: 6.6 Adding, Subtracting, & Multiplying Radicals

January 12th Due Next Class:  HW 6.6 +    Video Notes

What does it mean to simplify a radical?

√50 5√2Hint:

Simplify

n2

14

9

16

25

36

49

64

81

100

121

144

169

196

225

1) √98 2) ­5√108 3) 2√201

6.6 Adding, Subtracting, & Multiplying Radicals.notebook

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January 12, 2016

Homework Review

6.6 Adding, Subtracting, & Multiplying Radicals.notebook

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January 12, 2016

Quickly...

1) 3h + 2h =  2) 5a + 6b = 

3) 3√5 + 2√5 =  4) 5√2 + 6√3 = 

6.6 Adding, Subtracting, & Multiplying Radicals.notebook

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January 12, 2016

Operations with Radicals

Addition

Operation What to do? Example

­We can ONLY combine terms with LIKE radicals

­We can simplify radicals to try to get like radicals if they are different

Subtraction

­We can ONLY combine terms with LIKE radicals

­We can simplify radicals to try to get like radicals if they are different

6.6 Adding, Subtracting, & Multiplying Radicals.notebook

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January 12, 2016

Operations with Radicals

Operation What to do? Example

Multiplication

­Multiply the numbers under the radical, then simplify if possible

­Multiply the coefficients and radicals separately, then simplify if possible

6.6 Adding, Subtracting, & Multiplying Radicals.notebook

6

January 12, 2016

6.6 Adding, Subtracting, & Multiplying Radicals.notebook

7

January 12, 2016

Summarizing Operations with Radicals

1) Addition & Subtraction - Like Radicals-Simplify to get like radicals if they are different

2) Multiplication - Multiply the coefficients together & multiply the radicals together

-Make sure to simplify your answer if you can