Mar 13, 2005 · Assume that the difference between a rational number and an irrational number is an irrational number. The sum of any such two irrational numbers would be a rational number.

Jul 24, 2013 · So is an irrational number always irrational no matter what the base or is Pi just a special case? The term "irrational" is independent of what base we use. So yes, an irrational …

Dec 6, 2004 · Irrational numbers are just an inconsistent fabrication of abstract mathematics. Irrational lengths can't exist in the real world. And rational lengths can ? There is no way that …

Mar 8, 2004 · It would seem that an irrational number would have to be a transcendental number. If a transcendental number is a number which goes on infinitely and never repeats, then all …

Nov 24, 2007 · Homework Statement Prove that log2 of 5 is irrational. Homework Equations None. The Attempt at a Solution I just had a glimpse of the actual solution...

Dec 28, 2016 · There are an infinite number of irrational numbers just as there are an infinite number of integers, rational numbers and real numbers. However since reals are uncountable …

Sep 9, 2009 · Unless you know the number exactly (as you can with a constant defined mathematically, but as you cannot with a constant defined using measurements), you cannot …

May 11, 2015 · Can one make an irrational number rational by defining it as the unit of a counting system? I don't know what constitutes an mathematically consistent 'number line' - this …

Feb 6, 2011 · How to prove that root n is irrational, if n is not a perfect square. Also, if n is a perfect square then how does it affect the proof.

Jul 29, 2010 · Homework Statement Show that the irrational numbers are dense in R. [Hint: Use the fact that sqrt(2) is irrational.]Homework Equations Book already proved that the rationals …