Find a, b, c in Q such that (1 + 3rt(4)) / (2 - 3rt(2)) = a + b(3rt(2)) + c(3rt(4))

Note that such a, b, c exist since (1 + 3rt(4)) / (2 - 3rt(2)) Q3rt(2) = a + b(3rt(2)) + c(3rt(4)) | a, b, c Q.