24. The reciprocal of any irrational number is irrational. (The reciprocal of a nonzero real number a is 1/x.)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
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Prove each of the statements in 23, 24, and 25 in two ways: (a) by contraposition and (b) by
contradiction.
Transcribed Image Text:Prove each of the statements in 23, 24, and 25 in two ways: (a) by contraposition and (b) by contradiction.
24. The reciprocal of any irrational number is irrational. (The reciprocal of a nonzero real number a
is 1/æ.)
Transcribed Image Text:24. The reciprocal of any irrational number is irrational. (The reciprocal of a nonzero real number a is 1/æ.)
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