SOLUTION: Rationalize the denominator: {{{1/(3+sqrt(3))}}}

Algebra ->  Square-cubic-other-roots -> SOLUTION: Rationalize the denominator: {{{1/(3+sqrt(3))}}}      Log On


   

Question 1033218: Rationalize the denominator:
1%2F%283%2Bsqrt%283%29%29
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
1=%283-sqrt%283%29%29%2F%283-sqrt%283%29%29

Multiplying by 1 does not change a number. Do that here and you can take advantage of the Difference of Squares.

%281%2F%283%2Bsqrt%283%29%29%29%28%283-sqrt%283%29%29%2F%283-sqrt%283%29%29%29

%283-sqrt%283%29%29%2F%289-3%29

%283-sqrt%283%29%29%2F6-----either this

1%2F2-sqrt%283%29%2F6------or this.