SOLUTION: Please help: Rationalize the denomenator: {{{ sqrt(7)/(3- sqrt(6))}}}

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Question 35043: Please help:
Rationalize the denomenator:
++++sqrt%287%29%2F%283-+sqrt%286%29%29
Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
In order to rationalize the denominator, we need to make use of the following rule:
%28a%2Bb%29%28a-b%29=a%5E2-b%5E2
The denominator in your case is 3-+sqrt%286%29 so in order to eliminate the square root ("rationalize it"), we can multiply it by 3%2Bsqrt%286%29. Of course, we must multiply the numerator too by that number. So we have:

So your expression becomes:
+%28sqrt%287%29%283%2Bsqrt%286%29%29%29%2F+%289+-+6%29
+%28sqrt%287%29%283%2Bsqrt%286%29%29%29%2F3
So now we've rationalized the denominator.

I hope this helps!
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