Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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.

share|cite|improve this question
Answer is right. No absolute values should be used. – André Nicolas Jun 8 '12 at 14:16
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. – rschwieb Jun 8 '12 at 14:24
@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. – André Nicolas Jun 8 '12 at 14:30
Say, why is it called rationalizing the denominator anyways? I didn't know that denominators were unreasonable. – John Joy Nov 24 '14 at 14:39

The answer is correct, and no absolute values are necessary.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.