Sarahisme Posted April 2, 2005 Share Posted April 2, 2005 how do i prove by contradiction that the sum of two irrational numbers is irrational? lol i just can't quite see the trick yet Cheers Sarah Link to comment Share on other sites More sharing options...
Sarahisme Posted April 2, 2005 Author Share Posted April 2, 2005 lol ah ha thats because its false.... ie. srt2 + (-srt2) = 0 but that then begs the question....is zero rational or irrational? Link to comment Share on other sites More sharing options...
Primarygun Posted April 2, 2005 Share Posted April 2, 2005 If a number can be expressed in fraction, then it is a rational number. Can 0 be expressed into a fraction? You think about it. Link to comment Share on other sites More sharing options...
Sarahisme Posted April 2, 2005 Author Share Posted April 2, 2005 well no i guess it is not rational, but then is it irrational? or is it something else again?!?!? aghhh!!! lol Link to comment Share on other sites More sharing options...
Dapthar Posted April 2, 2005 Share Posted April 2, 2005 well no i guess it is not rational, but then is it irrational?Zero is a rational number, since it can be written as a quotient of two integers. Namely, we can write [math]0=\frac{0}{a}[/math], where [math]a[/math] is any non-zero integer. Link to comment Share on other sites More sharing options...
bloodhound Posted April 2, 2005 Share Posted April 2, 2005 well. just take another example then... [math](1-\sqrt{2})+\sqrt{2}=1[/math] Link to comment Share on other sites More sharing options...
Sarahisme Posted April 2, 2005 Author Share Posted April 2, 2005 k cool then Link to comment Share on other sites More sharing options...
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