sum of 2 irrational numbers

[Sarahisme]

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

[Sarahisme]

lol ah ha thats because its false.... ie. srt2 + (-srt2) = 0

 

but that then begs the question....is zero rational or irrational?

[Primarygun]

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.

[Sarahisme]

well no i guess it is not rational, but then is it irrational? or is it something else again?!?!? aghhh!!! lol

[Dapthar]

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.

[bloodhound]

well. just take another example then... [math](1-\sqrt{2})+\sqrt{2}=1[/math]

[Sarahisme]

k cool then