Problem 9. Show that each of the following numbers is irrational: (a) v3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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NUMBERS, REAL AND RATIONAL
Therefore our error must be in the initial assumption that 2 coulc
expressed as a fraction. That assumption must therefore be false. In o
words, v2 cannot be so expressed.
Problem 9. Show that each of the follouring numbers is trralional.
(a) v3
(b) V5
(c) V2
(d) i(= /=1)
(e) The square rool of eUery posilive inleger which is nol lhe squLare of an
leger.
The lact thal v2 is not ralional is cute and interesting, but unless, like
Transcribed Image Text:NUMBERS, REAL AND RATIONAL Therefore our error must be in the initial assumption that 2 coulc expressed as a fraction. That assumption must therefore be false. In o words, v2 cannot be so expressed. Problem 9. Show that each of the follouring numbers is trralional. (a) v3 (b) V5 (c) V2 (d) i(= /=1) (e) The square rool of eUery posilive inleger which is nol lhe squLare of an leger. The lact thal v2 is not ralional is cute and interesting, but unless, like
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