Rudy Posted January 19, 2004 Share Posted January 19, 2004 i need to prove that u can add 2 irrational numbers and get a rational number, i dont want to complete solution, just something to get me started because i have no clue and the book is not helping me so a + b = p / q where a and b are irrational and p and q are integers Link to comment Share on other sites More sharing options...
blobblob Posted January 19, 2004 Share Posted January 19, 2004 You could take any irrational number like pie or something and add the negative of it. e.g. Pie + (-Pie) = 0 Probably not the way you're meant to do it but it works. Link to comment Share on other sites More sharing options...
Rudy Posted January 19, 2004 Author Share Posted January 19, 2004 any1 can help at all? Link to comment Share on other sites More sharing options...
Rudy Posted January 19, 2004 Author Share Posted January 19, 2004 You could take any irrational number like pie or something and add the negative of it.e.g. Pie + (-Pie) = 0 Probably not the way you're meant to do it but it works. thats the only i figured but i dont think thats the way he wants it......if i cant find anything better thats what i'll put.... anyone know a better way? Link to comment Share on other sites More sharing options...
neowin_hipster Posted January 20, 2004 Share Posted January 20, 2004 a direct proof might not work. Try an indirect proof. Such as proof by contractidiction. Since it only asks for a single case (implied by the preposition) , a simple example will suffice. That is entirely correct however, a rational number must be written p/q where q!= 0. Choose p=0, q=1. Just because its obvious doesn't retract from the fact that it is correct. Link to comment Share on other sites More sharing options...
Recommended Posts