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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