JustAnswer
1) What are the two steps for simplifying radicals? Can either step be deleted? If you could add a step that might make it easier or easier to understand, what step would you add?Here are the two steps for simplifying the nth root of an expression:STEP 1: Find the largest perfect nth power factor of the radicand.STEP 2: Factor out and simplify this perfect nth power.I think the only time you could skip either of these steps is when there is no way to simplify the radical. For example, when the radicand (the inside part) is prime and therefore can’t be factored at all, then neither step can be applied.I think step 1 might be broken down further to make it a little easier. I would break this down like this:Step 0: Completely factor the radicand. Step 1: Group expressions into powers of n wherever possibleAs an example, let’s do cuberoot(8x7)Factoring the inside gives cuberoot(24x7)Grouping terms into powers of 3 where possible, cuberoot( 23 2 (x2)3 x)Then we pull out the cubed terms 2x2 cuberoot(2x)2) What role do radical numbers play in your current or future profession? Provide a specific example and relate your discussion to your classroom learning this week. (Note: This might require a little research on your part.)My work doesn’t really involve algebra directly, but just about everything around me does, so it should be pretty simple to point to something that involves a square or cube root. Whenever I think about applications of math and science I first think about geometry, because this is the most concrete and visual example of math for me. One example from everyday work involves putting in new flooring. The flooring is priced at some price per square foot, and there is one really good deal available on some left over product, but there was only 200 square feet available. I wasn’t planning on installing new flooring quite yet, so hadn’t measured the space, but this deal looked really good so I wanted to know if it would be enough to fit my space. To get an idea of how big a room the material would cover, I figured the square root of 200 square feet is about 14 feet. So I knew it would cover a room that is approximately 14 feet on a side. This would be easily enough for the space I was considering. ................
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