SOLUTION: I need help rationalizing the denominator and simplifying this problem: sqrt of 3 plus two over sqrt of 7 minus 7 I came up with this answer but it is not one of my options

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Question 47996: I need help rationalizing the denominator and simplifying this problem:
sqrt of 3 plus two over sqrt of 7 minus 7
I came up with this answer but it is not one of my options
sqrt of 21 plus 7 sqrt of 3 plus 2 sqrt of 7 plus 14 over -42
It looks like my professor put the negative sign in the numerator, but I am not sure. Would the negative from the 42 distribute through the entire numerator or just the first number?
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
[sqrt(3) +2)]/ [sqrt(7) - 7]
Multiply numerator and denominator by sqrt(7)+7 to get:
[sqrt3+2][[sqrt7+7]/[sqrt7-7][sqrt7+7]
= [sqrt21+7sqrt3 + 2sqrt7 +14]/(7-49)
= [sqrt21+7sqrt3 + 2sqrt7 +14]/(-42)
The negative could be distributed throughout the numerator.
Cheers,
Stan H.