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Show that if a and b are positive irrational numbers such
Chapter 5, Problem 14E(choose chapter or problem)
QUESTION:
Show that if a and b are positive irrational numbers such that 1/a + 1/b = 1, then every positive integer can be uniquely expressed as either ?ka? or ?kb? for some positive integer k.
Questions & Answers
QUESTION:
Show that if a and b are positive irrational numbers such that 1/a + 1/b = 1, then every positive integer can be uniquely expressed as either ?ka? or ?kb? for some positive integer k.
ANSWER:SolutionStep 1In this problem, we have to show that if two positive irrational number such that = 1 where a and b are irrational number.