Multiplying And Dividing Radical Expressions Worksheet
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1
2Notes for Lesson 11-8: Multiplying and Dividing Radical Expressions
11-8.1 – Multiplying Square Roots
We have already talked about how to use the product and quotient properties to simplify radical expressions.
We can also use these properties to expand radical expressions.
Examples: Multiply, write each answer in simplest form.
2
8
x
4
x
2
5 (
) 3
3
6
2
2
32
x
5
3
5
3
18
2
25
9
2
16
2
x
3
2
75
8
x
2
11-8.2 – Using the Distributive Property
Since we are multiplying we can also use the distributive property with radicals
Examples: Multiply, write each answer in simplest form.
2
5
12
3
3
5
5
5
4
6
5
5
2
24
9
15
20
5
30
25
5
2
2
6
3
15
20
5
150
11-8.3 – Multiplying Sums and Differences of Radicals
Remember when you have binomials or trinomials you need to FOIL or multi-distribute to find your answers.
Examples: Multiply, write each answer in simplest form.
2
7
5
4
5
3
5
7
5
7
5
4
3
3
5
12
4
5
3
5
25
49
5
7
5
7
25
4
3
20
9
5
3
12
1
5
5
7
10
7
25
1
3
17
7
1
5
32
10
7
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