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Does a rational number times an irrational number equal a rational number?
Wiki User
∙ 6y ago
No. If the rational number is not zero, then such a product is irrational.
Wiki User
∙ 7y ago
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Why the product of nonzero rational number and a rational number is an irrational?
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
Is 3 times pi a rational or an irrational?
3 times pi is an irrational number because it can't be expressed as a fraction
Is 0.3pi rational or irrtional?
If you mean 0.3 times pi then it is an irrational number
Is 7.5 rational or irrational?
75 times 75 = 5625 which is a rational number
Does pi times any number equal an irrational number?
Since pi is irrational, its product with any other number is also irrational. The only exception is a multiple of its own reciprocal.
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 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 a rational number times a irrational number?
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
What is the result of an irrational number times an rational number?
Unless the rational number is zero, the answer is irrational.
Is the product of a rational number and an irrational number an irrational?
Not necessarily. 0 times any irrational number is 0 - which is rational.
Why the product of nonzero rational number and a rational number is an irrational?
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
Does an irrational number times an irrational number equal an irrational number?
Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.
Why the area of a circle with a rational radius must be an irrational number?
It the radius is r then the area is pi*r*r - which is pi times a rational number. pi is an irrational number, so the multiple of pi and a rational number is irrational.
Is 3 times pi over two rational?
No; since pi is irrational if you multiply it by a rational number it is still irrational
Is pi 12 equal to a rational number?
Any multiple of or addition to or subtraction from PI is an irrational number. PI divided by PI is 1, a rational number. So is PI times 0 = 0
Can you multiply an irrational number times an irrational number and get a rational number?
Well, (pi) x (1/pi) = 1 .
Is 15 times pi a rational number?
No because 15 times pi is an irrational number
