Find 2/(1 + 2*sqrt(3)) + 5/(2 - sqrt(3)), and write your answer in the form (A + B*sqrt(3))/C, with the fraction in lowest terms and A > 0. What is A + B + C?
multiply the denominators of both fractions by the conjugate to rationalize the denominator (because you get difference of squares). subsequently u multiply by the lcd of the two get rid of a fraction in the denominator and then do any simplifying u need to u should get it in that form :)