Tuesday, June 07, 2005

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.


Anonymous Chris Esposo said...

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.

June 8, 2005 at 7:55 PM  
Anonymous Chris Esposo said...

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,"

June 8, 2005 at 7:56 PM  
Blogger Andy said...

It is a trick question / joke. Being irrational is being irrational.

June 9, 2005 at 10:48 AM  
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