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sum of 2 irrational numbers

Sarahisme
in Homework Help

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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 :P

 

Cheers

 

Sarah

  • Author

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

 

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

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.

  • Author

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

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.

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

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