IS SQRT(5) RATIONAL? UNDERSTANDING THE PROOF BY CONTRADICTION
Nov 23, 2003 You just said that the product of two (distinct) irrationals is irrational. If you don't like pi, then sqrt (2) and 2sqrt (2) are two distinct irrationals involving only integers and whose … From bing.com
PROVING IRRATIONALS ARE DENSE IN THE REALS - PHYSICS FORUMS
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 … From bing.com
CAN ONE USE AN IRRATIONAL NUMBER AS A BASE? - PHYSICS FORUMS
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 … From bing.com
IRRATIONAL NUMBERS AREN'T INFINITE. ARE THEY? - PHYSICS FORUMS
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 … From bing.com
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 … From bing.com
IRRATIONAL NUMBERS VS. TRANSCENDENTAL NUMBERS - PHYSICS FORUMS
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 … From bing.com
PROVE AN INFINITE SERIES IS IRRATIONAL - PHYSICS FORUMS
Mar 13, 2011 Whatever the form of the infinite series, I just showed that some infinite series are not irrational. So there is a counterexample to your claim. That is you can't demonstrate that a … From bing.com
PROOF THAT LOG2 OF 5 IS IRRATIONAL - PHYSICS FORUMS
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... From bing.com
IS PI A RATIONAL NUMBER IN ANY OTHER BASE BESIDES BASE PI?
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 … From bing.com
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. From bing.com
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