SOLUTION: Tutor: How do I rationalize the denominator for 6 divided by 2 plus the square root of 3?

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Question 135421: Tutor: How do I rationalize the denominator for 6 divided by 2 plus the square root of 3?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalise the denominator:
6%2F%282%2Bsqrt%283%29%29
To rationalise the denominator, you multiply it by its conjugate, and you must do the same to the numerator.
The conjugate of 2%2Bsqrt%283%29 is 2-sqrt%283%29, so...
%286%2F%282%2Bsqrt%283%29%29%29%2A+%28%282-sqrt%283%29%29%2F%282-sqrt%283%29%29%29 Simplify.
6%282-sqrt%283%29%29%2F%284-3%29=6%282-sqrt%283%29%29+=+12-6sqrt%283%29