Problem 27 of 7
Determine whether product (3/2)(7/3) of rational numbers is rational.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
apply closure under multiplication.
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Both factors must be rational numbers or symbolic rationals with nonzero denominators where applicable.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify both factors as rational.
2. Use closure: product of rational numbers is rational.
3. Multiply numerators and denominators if a symbolic proof is needed.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying a product is irrational because fractions are involved.