Tuesday, September 17, 2013

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? Give a radical term for the class to simplify.

The first step to simplifying a radical is breaking it down into its perfect square numbers, for instance in the √8 This can be broken down into 2x4. Four is a perfect square number. Therefore its square root can be pulled out of the radical. In this case 2. There is however still left a two under the radical so the simplified radical looks like. 2√2. There isn’t really a step that can be eliminated in this process. I f I were to add a step or break it down for someone else to understand I would simply explain that the simplest way to break down a radical is to break it down to its LCD, and any numbers left over that have pairs of 2 can be pulled out of the radical. A radical term for the class to simplify is √98.

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