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okay so we're going to continue talking about simplifying radicals and basically in some cases we need to do additional work in order to rationalize the denominator of a radical expression so let's start learn about this right here what's called conjugates so if you have something like a plus b and a minus B those are called conjugates of each other so in other words if you have something like x + y and x - y right we see that all the time remember we multiply those together you get x^2 - y^2 those are conjugates basically you have the same thing in the first position as you do here and here you have the same thing in the second position as you do here and here it's just that the signs are different right you have a plus here and a minus here so here you have X and you have X then you have y and you have y and you have different signs a plus and a minus so those are called again conjugates of each other we're going to see in a minute that those a

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