Problem 50 of 7
Determine whether product 5sqrt(3) of nonzero rational and irrational numbers is irrational.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
account for nonzero rational factor.
Hidden until you reveal it.
Rational multiplier may be zero only when testing exception.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Check whether the rational factor is zero.
2. If nonzero, product with an irrational remains irrational.
3. If zero, the product is 0, which is rational.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Ignoring the zero multiplier case.