Problem 150 of 7
Find a counterexample to false claim The product of an irrational number and a rational number is always rational.
Using a hint is okay. It just tells the trainer to give you a little more review.
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construct simple rational/irrational examples.
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Claim must be false and about rational/irrational operations.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify what the claim says always happens.
2. Choose simple rational or irrational numbers that satisfy the inputs.
3. Compute the result and show it contradicts the claim.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Examples that do not use the claimed number types.