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svp [43]
3 years ago
12

Can a rational number with rational exponent be irrational

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Yes. In general, a rational number with a non-integer exponent is not assured of being rational. (Any prime with a non-integer exponent is irrational, for example.)

2^(1/2) is irrational

(9/25)^(3/2) is rational

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