# MAT117 Week 5 DQ 1

**Topics:**Square number, Square root, Nth root

**Pages:**7 (1249 words)

**Published:**May 21, 2015

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 multiplying. An example for the class is √12.

RESPONSE 3

The two steps for simplifying a radical expression are;

1. Determine the largest "nth" power of the radicand.

2. Use the product rule to factor out and simplify this perfect "nth" power.

An "nth" power is a variable or integer that is the power of a variable or integer. An example is; 2^2, x^2, 2^x, and x^x

A radicand will be the variable or integer that is going to be raised to the "nth" power.

I would think that both steps could be deleted depending on what the nth power and radicand are. In addition, simply using a calculator would remove the need for the steps.

A step that I would add is; When you are simplifying a radical expression that has multiple terms in the denominator, simply split them into separate radicals before beginning the simplifying process.

A radical expression for you to simplify is;

^4√625

Rockswold, G. K., & Krieger, T. A. (2013). Beginning and intermediate algebra with applications and visualization. (3rd ed.). Boston, MA: Addison-Wesley.

RESPONSE 4

1. What are the two steps for simplifying radicals?

The two steps that you need to follow for simplifying radicals are the following. The first step is to determine the largest perfect nth power factor of the radicand. The second step in simplifying radicals is to use the product rule to factor out and simplify this perfect nth power. 2. Can either step be deleted?

Yes, one step can be deleted in the process of simplifying radicals and that step is the second step iwhich is simplifying radicals is to use the product rule to factor out and simplify this perfect nth power. When you happen to delete that step, you need to understand that only happens when the product rule for radical expressions cannot be used if the radicals do not have the same indexes. In that case you would then use rational exponents 3. If you could add a step that might make it...

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