Is the square root of 101 a rational number?

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asked Jan 4, 2018 131k views

1 Answer

Tika · Answer 1 · 2018-01-09T02:54:52+0000

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.

Is the square root of 101 a rational number?

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