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How to Remove Variable Factors in Simplifying Radicals....5

Adding and subtracting radicals and whole numbers requires you to keep a few very important things in mind. Find out how to add and subtract radicals and whole numbers with help from an expert in mathematics in this free video clip.

Part of the Video Series: Radical Numbers
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## Video Transcript

Hey there, it's Dr. K. In today's tutorial, we're going to learn how to add and subtract radicals and whole numbers. So, a whole number is any number like, one, two or three. We're going to use two, plus a radical, is any number that's contained by the square root sign. So, we're going to do a radical four. Now, this is very easy to simplify. This is going to simplify to, two plus the square root of four, is two. So, two plus two is four. So, there you have it. But let's make it a little bit more difficult. For example, what if we took our whole number, was once again, two, but we decided to add a radical like, eight. Can we add those two together? So, let's simplify the expression first. And it simplifies to two, and eight is going to be two times, two times, two, or two cubed. When it's simplifies it becomes two radical two. And this is pretty much the answer, you can't simplify that anymore. Because this whole number doesn't have the same radical as this number. This expression is the answer, it's a pretty way of looking at it. So, there you have it, that's how you add whole numbers and radicals. Thanks for watching, I'm Dr. K.

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