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The first step to simplifying a radical is breaking it down into its perfect square numbers, (by perfect square numbers I mean numbers like 4, 9, 16, 25 etc.) for instance in the √12. This can be broken down into 3x4. 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 three under the radical so the simplified radical looks like. 2√3. 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 √147.
The first step to simplifying a radical is breaking it down into its perfect square numbers, (by perfect square numbers I mean numbers like 4, 9, 16, 25 etc.) for instance in the √12. This can be broken down into 3x4. 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 three under the radical so the simplified radical looks like. 2√3. 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 √147.
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