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1. [5 marks] Suppose α is a non-zero algebric number and β is a transcendental number. Show that α+β and αβ are transcen
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1. [5 marks] Suppose α is a non-zero algebric number and β is a transcendental number. Show that α+β and αβ are transcen
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1. [5 marks] Suppose α is a non-zero algebric number and β is a transcendental number. Show that α+β and αβ are transcendental numbers.