Answer to Question #14570 in Real Analysis for bagia artha
number. If, in addition, x is not equal to 1, then show that xy is an irrational number.
y - irrational
If z=x+y rational then y=z-x is rational too,
that contradicts assumptions.
The same is about z=xy and y=z/x. So, x+y
and xy are both irrational.
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