SOLUTION: Rationalize the denominator and simplify: square root 3 / 3 - square root 3

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Question 63638: Rationalize the denominator and simplify:
square root 3 / 3 - square root 3
Found 2 solutions by funmath, 303795:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator and simplify:
sqrt%283%29%2F%283-sqrt%283%29%29 Multiply the numerator and denominator by the conjugate of the denominator.
sqrt%283%29%283%2Bsqrt%283%29%29%2F%28%283-sqrt%283%29%29%283%2Bsqrt%283%29%29%29

%283sqrt%283%29%2Bsqrt%289%29%29%2F%289%2B3sqrt%283%29-3sqrt%283%29-sqrt%289%29%29
%283sqrt%283%29%2B3%29%2F%289-3%29
%283sqrt%283%29%2B3%29%2F6
3%28sqrt%283%29%2B1%29%2F%283%2A2%29
cross%283%29%28sqrt%283%29%2B1%29%2F%28cross%283%29%2A2%29
highlight%28%28sqrt%283%29%2B1%29%2F2%29
Happy Calculating!!!

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283%29%2F%283-sqrt%283%29%29
Multiply top and bottom by the conjugate of 3-sqrt%283%29 which is 3%2Bsqrt%283%29

%283%2Asqrt%283%29%2B3%29%2F%28%283%5E2-sqrt%283%29%5E2%29%29 Difference of squares
%283%2Asqrt%283%29%2B3%29%2F%289-3%29
%283%2Asqrt%283%29%2B3%29%2F6%29 Divide out common factor of 3
%28sqrt%283%29%2B1%29%2F2%29