+206 Find $\displaystyle{ \frac{2}{1 + 2\sqrt{3}} + \frac{3}{2 - \sqrt{3}}}$, and write your answer in the form $\displaystyle \frac{A + B\sqrt{3}}{C}$, with the fraction in lowest terms and $A > 0$. What is $A+B+C$?
+1223 21+2√3⋅1−2√31−2√3+32−√3⋅2+√32+√3
2−4√313+6+3√31
(2−4√3)+13(6+3√3)13
80+35√313
.
+240 Hello oliviapow06...!
21+2√3+32−√3
=2(2−√3)(1+2√3)(2−√3)+3(1+2√3)(2−√3)(1+2√3)
=2(2−√3)+3(1+2√3)(2−√3)(1+2√3)
=2(2−√3)+3(1+2√3)3√3−4
=7+4√33√3−4
=37√3+6411
A=64
B√3=37√3
C=11
64+37√3+11
=75+37√3
