1.26 Remark. If n E N is not a perfect square (i. e., if there is no...

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1.26 Remark. If n E N is not a perfect square (i. e., if there is no mEN such that n = m 2), then Vn is irrational.

PROOF. Suppose to the contrary that n E N is not a perfect square but Vn E Q;

i.e., Vn = p/q for some p, q E N. Choose by Remark 1.25 an integer mo EN such that

(10) mo

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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1.26 Remark. If n E N is not a perfect square (i. e., if there is no...

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An Introduction To Analysis

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