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23 March, 15:58

Is the square root of 101 a rational number?

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  1. 23 March, 16:22
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    No because 101 is prime. Square roots of primes are always irrational. If they weren't, you could write sqrt (101) as some a/b and a²/b² would be 101. Then b² would be a divisor of 101 and 101 wouldn't be prime. That contradicts.
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