Problem 96 of 7
Determine whether product of two irrational numbers in sqrt(5)*sqrt(5) must be irrational.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
provide counterexamples.
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Expression must involve two irrational factors or a general claim about them.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Multiply the specific factors if possible.
2. For a general claim, use a counterexample such as sqrt(2)*sqrt(2).
3. Conclude that irrational times irrational is not always irrational.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Claiming all irrational products are irrational.