Let a and b be irrational numbers. Is (ab)^2 always rational, sometimes rational, or never rational?

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asked Jun 12, 2018 196k views

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Gtzilla · Answer 1 · 2018-06-16T09:39:41+0000

When you multiply 2 irrational numbers, the result is always irrational. This applies to squaring as well since it is still multiplying irrational numbers together (though the terms are the same)

Final answer: never rational

Let a and b be irrational numbers. Is (ab)^2 always rational, sometimes rational, or never rational?

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