SOLUTION: Rationalize the denominator {{{(3 + sqrt(3))/(1 - sqrt(3))}}} I know to times both sides by {{{1 + sqrt(3)}}} and I get {{{(3 + sqrt(3))(1 + sqrt(3))/(1)^2 - sqrt(3)^2}}} then im l

Algebra ->  Rational-functions -> SOLUTION: Rationalize the denominator {{{(3 + sqrt(3))/(1 - sqrt(3))}}} I know to times both sides by {{{1 + sqrt(3)}}} and I get {{{(3 + sqrt(3))(1 + sqrt(3))/(1)^2 - sqrt(3)^2}}} then im l      Log On


   

Question 38016: Rationalize the denominator %283+%2B+sqrt%283%29%29%2F%281+-+sqrt%283%29%29 I know to times both sides by 1+%2B+sqrt%283%29 and I get %283+%2B+sqrt%283%29%29%281+%2B+sqrt%283%29%29%2F%281%29%5E2+-+sqrt%283%29%5E2 then im lost, i know the answer is -2sqrt%283%29+-+3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalise the denominator:
%283%2Bsqrt%283%29%29%2F%281-sqrt%283%29%29 Your first step, multiplying top and bottom by 1%2Bsqrt%283%29%29 was the right move!
%283%2Bsqrt%283%29%29%281%2Bsqrt%283%29%29%2F%281-sqrt%283%29%29%281%2Bsqrt%283%29%29
%283%2B4sqrt%283%29%2B3%29%2F%281-3%29 Simplify.
%286%2B4sqrt%283%29%29%2F-2+=+2%283%2B2sqrt%283%29%29%2F-2 Cancel the 2's
-%283%2B2sqrt%283%29%29 which is the same as-2sqrt%283%29-3