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My question is- Simplify:

$$\frac{1}{\sqrt{3}+\sqrt{2}} + \frac{2}{\sqrt{5}-\sqrt{3}} - \frac{3}{\sqrt{2}+\sqrt{5}}$$

My answer is $2\sqrt{3}$. Am I right? I would also like to know the solution as I am a bit confused about whether to take absolute values while solving it.

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    Answer is right. No absolute values should be used.2012-06-08
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    You're probably thinking of your previous question, where there were expressions of the form $\sqrt{A^2}$. In that case, it's true that $\sqrt{A^2}=|A|$, but now of course *that appears nowhere here*.2012-06-08
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    @meg_1997: I assume you did the problem by rationalizing the denominators *separately*. If you used another way, say so, rationalizing denominators gives a simple solution.2012-06-08
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    Say, why is it called rationalizing the denominator anyways? I didn't know that denominators were unreasonable.2014-11-24

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