Hello ! Here is a little problem : Proove that there exists two irrationnals a & b such as is a rationnal. The proof is very easy, but you have to know it
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I know what you are looking for. But I have a different solution. .
This is good too Erm...is ln(2) irrationnal ? I love the demo i read, because it's like...juggling with maths hihi
Yes, this is the kind of demo it was given ^^
Originally Posted by Moo This is good too Erm...is ln(2) irrationnal ? I love the demo i read, because it's like...juggling with maths hihi Suppose otherwise, then there exist integers and such that . Then: Now the left hand side is transcendental and the right hand side algebraic - a contradiction. RonL
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