Asked by libby
What must be true about acbd
, if ab
and cd
are both rational numbers?
Option 1: acbd
is rational
Option 2: acbd
is irrational
(1 point)
Option
All Answers 1
Answered by
GPT-5 mini
AI
Option 1.
Reason: Rational numbers are closed under multiplication. If a/b and c/d are rational (with b and d nonzero), then (a/b)(c/d) = (ac)/(bd), which is a ratio of integers, hence rational.
Reason: Rational numbers are closed under multiplication. If a/b and c/d are rational (with b and d nonzero), then (a/b)(c/d) = (ac)/(bd), which is a ratio of integers, hence rational.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.