sqrt(2), thanks for the names to the story. So, if you knew the answer, why are you asking?! I think this includes style. Style is there to explain the context, not for the beauty contest. Also, for length. Make it short, delete what is not germane to the idea.
Reb E, I think the topic author is simply “irrational”. Gemora is often practical, approximate in math, as in modern statistics and game theory. Make it easy for a farmer to do on his own, rather than hire a lawyer. Greeks were obsessed with needless precision, they are still trying to divide a segment in 3 parts.