The Irrationality of n √ 2
نویسنده
چکیده
In this paper we will show the irrationality of n √ 2 for all natural numbers n ≥ 2.
منابع مشابه
Irrationality Measures of log 2 and π/√3
1. Irrationality Measures An irrationality measure of x ∈ R \Q is a number μ such that ∀ > 0,∃C > 0,∀(p, q) ∈ Z, ∣∣∣∣x− pq ∣∣∣∣ ≥ C qμ+ . This is a way to measure how well the number x can be approximated by rational numbers. The measure is effective when C( ) is known. We denote inf {μ | μ is an irrationality measure of x } by μ(x), and we call it the irrationality measure of x. By definition,...
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تاریخ انتشار 2011