Prove that there does does not exist a unique positive real number, x, with the property that x square =x,

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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Prove that there does does not exist a unique positive real number, x, with the property that x square =x,

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