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Earn +20 ptsQ: Is three times an irrational number always an irrational number?
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Is the product of a rational number and irrational number always rational?
No.A rational times an irrational is never rational. It is always irrational.
Is an irrational number times an irrational number always irrational?
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
What does a rational number times an irrational number equal?
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Is there a proof to show that if you multiply an irrational number times an irrational number you get a rational number?
There cannot be a proof since your assertion is not necessarily true. sqrt(2)*sqrt(3) = sqrt(6). All three are irrational numbers.
What is the result of an irrational number times an rational number?
Unless the rational number is zero, the answer is irrational.
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