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MAT117 Week 5 DQ 1

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MAT117 Week 5 DQ 1
MAT 117 /MAT117 Course
Algebra 1B

MAT 117 /MAT117 Week 5 Discussion Question
Version 8

Week 5 DQ 1
1. What are the two steps for simplifying radicals?
2. Can either step be deleted?
3. If you could add a step that might make it easier or easier to understand, what step would you add?
4. Provide an example for your classmates. (It must be a simplifying radical example)

RESPONSE

When simplifying radicals, there are two steps that you should follow and it is important that you do not skip either step. The steps needed to simplify radicals are to:
1. Determine the largest perfect nth power factor of the radicand
2. Use the product rule to factor out and simplify this perfect nth power. If I could add a step that might make it easier or easier for me to understand, that step would be to factor the radical expression. This would help me to visualize on paper rather than in my head what the largest perfect nth power factor of the radicand might be. I find that for me, it is easier to solve or simplify something if I have a visual or example in front of me, as I am a hands on learner. My example for simplifying radicals for the class to solve would be:
√1296

RESPONSE 2

There are two steps for simplifying radicals. The first step is to determine the largest perfect nth power factor of the radicand. For example, 75 has several factors which are 1, 3, 5, 15, 25, and 75. The largest perfect square factor of 75 is 25. The second step for simplifying radicals is to use the product rule to factor out and simplify this perfect nth power. For example, the square root of 75. The largest perfect square factor of 75 is 25. The expression √75 can be simplified as √75 = √25 *3 which is 5√3. The product rule only works when the radicals have the same index. I do not think that either step one or step two could be deleted. I would say that a third step could be to simplify the expressions that are both inside and outside the radical by

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