Show that for any integer n, n² – 2 is not divisible by 3.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 13E: Prove that is irrational. (That is, prove there is no rational number such that .)
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(1) Show that for any integer n, n? - 2 is not divisible by 3.
(2) Prove by contradiction that if 3r
is irrational then z is irrational.
Transcribed Image Text:(1) Show that for any integer n, n? - 2 is not divisible by 3. (2) Prove by contradiction that if 3r is irrational then z is irrational.
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