Prove Or Disprove That If A And B Are Rational Numbers, Then AB Is Also Rational.

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Prove or disprove that if a and b are rational numbers, then a^b is also rational.

Answer

The statement is false, one counterexample is for a = -1 and b = 1/2.

Given statement: If a and b are rational numbers, then a^b is also rational.

The given statement is false, which will be disproven using a counterexample.

Counterexample:

prove or disprove that if a and b are rational numbers, then ab is also rational.

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