View Full Version : Rationalize the expression and simplify

05-22-2011, 04:42 PM

So I'm not even quite sure as to how I should even begin this problem. My textbook provides this answer:


But I was under the impression that once you rationalize a problem, you are NOT supposed to have radicals in the denominator.

Thanks in advance :D

05-22-2011, 05:54 PM
If you rationalize the numerator, then it is OK to have a radical in the denominator.

Multiply top and bottom by \sqrt{4+h}+2 and it'll fall into place.

05-22-2011, 09:01 PM
Of course because (sqrt(4+h)-2)/(sqrt(4+h)-2) is still equal to 1 so essentially multiplying by 1 does not change the equation. Wow thanks I really appreciate it right now.
Now time to work this out on my white board :)


05-22-2011, 09:06 PM
thanks once again very much.