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Question: please show all working out in as much detail as...

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Please show all working out in as much detail as possible, thanks
(4) (Cantor, 1874) Prove that the set Alg of all algebraic real num- bers is countable infinite, i.e. Alg has cardinality |AlglN Hint: For every positive integer h there are only finitely many polynomial equations with: n + |aol + + lan! h, h is also called the height of the polynomial equation.
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