Xkalibur wrote:krisi wrote:Xkalibur,

Do you want a numerical value to prove it?

No, there's no need for it. I'll show you how to do that in a logical way.Answer.

A- is a rational number.

B- is an irrational number.

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A+B or A-B1. Let'spresumethat sum A+B is a rational number:

A+B=CC-> rational2. If so, then B:B=C-A would have been also rational as the difference of two rational numbers, but isn't so because it contradicts to the statement (B- an irrational number). Thus, our presumption wasfalseand therefore sum A+B is an irrational number.

(A-B is similar to the above.)

Simple, isn't it?

Yes, yes. Got it!

Thanks.