The Most Confusing Question To Ask Your Algebra Student
You know that both pi and the square root of two are irrational, but which one is more irrational?
I almost asked this the other day while tutoring just to see if the client really understood what irrational meant, but I decided it wasn't worth seeming like a total nerd. On here, however, I have no worries about my nerdiness.
I almost asked this the other day while tutoring just to see if the client really understood what irrational meant, but I decided it wasn't worth seeming like a total nerd. On here, however, I have no worries about my nerdiness.
posted by Andy at 9:57 AM
36 Comments:
What do you mean by "more irrational"? I mean, is 2 more rational then 3? They are both part of a set, and they're both equally uncountable... One thing that makes square root of two more intresting is that you must invoke the completeness axiom to prove its a LUB or GLB for bounded sets. In any event, I think their both equally uncountable.
opps, I meant to say that all elements of the irrationals are all uncountable, so there's no point to saying which is more of an irraitonal. Put that after I say, "part of a set,"
It is a trick question / joke. Being irrational is being irrational.
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