The quadrinomial 6 + 9 Sqrt[2] 3^(1/4) + 6 Sqrt[3] + 5 Sqrt[2] 3^(3/4) keeps popping up on me, and I couldn't express it as a product of binomial surds to rational powers. But then Solve did it by accident! --rwg Spoiler: StringReverse["))4/1(^3*]2[trqS - 2(/))]3[trqS + 3(*))4/1(^3*]2[trqS*2 + 3-(*2("] (And Spotlight just falsely told me Wikipedia says "quadranomial"!)