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A. I chose N to he 13. 3.}? Assume 1%? is a rational number. Therefore, 1%? =mfn where m and n are integers and main

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A. I chose N to he 13. 3.}? Assume 1%? is a rational number. Therefore, 1%? =mfn where m and n are integers and main is a fraction with n at [i and is in its lowest form with no factor > 1. . malaiseSins This means that m3 has a factor of 13 which implies that m has a factor of 13. Therefore. m=13k where k is an integer. This means: 13n3=i13k3i 13n3=219?k3 n3: 169 k3 This means that n3 has a factor of 13. This implies that n has a factor of 13. If m and n both have a factor of 13. then main could not have been in its simplest form. This is a contradiction. Therefore, heca use of this discrepancy. m is irrational

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