1. Reduce the following radical to the simplest form: √32(1 point)

Question

Responses

16√2
16√2

4√2
4√2

2√16
2√16

2√2
2√2
Question 2
2. Reduce the following radical to the simplest form: √24(1 point)
Responses

2√6
2√6

6√2
6√2

6√4
6√4

4√6
4√6
Question 3
3. Reduce the following radical to the simplest form: √72(1 point)
Responses

36√2
36√2

√72
√72

2√6
2√6

6√2
6√2
Question 4
4. Reduce the following radical to the simplest form: √128(1 point)
Responses

2√8
2√8

64√2
64√2

8√2
8√2

2√64
2√64
Question 5
5. Reduce the following radical to the simplest form: √46(1 point)
Responses

2√23
2√23

4√23
4√23

23√2
23√2

√46

Answer 1

Let's simplify each radical step by step.

Question 1: Simplify √32

√32 can be rewritten as √(16 * 2) = √16 * √2 = 4√2. Answer: 4√2

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Question 2: Simplify √24

√24 can be rewritten as √(4 * 6) = √4 * √6 = 2√6. Answer: 2√6

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Question 3: Simplify √72

√72 can be rewritten as √(36 * 2) = √36 * √2 = 6√2. Answer: 6√2

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Question 4: Simplify √128

√128 can be rewritten as √(64 * 2) = √64 * √2 = 8√2. Answer: 8√2

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Question 5: Simplify √46

√46 cannot be simplified further because 46 does not have any perfect square factors other than 1. Answer: √46

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Based on these calculations, here are the final answers:

1. 4√2
2. 2√6
3. 6√2
4. 8√2
5. √46