Math and Arithmetic

Numbers

Irrational Numbers

Irrational. If you multiply a rational number by an irrational number, you will always get an irrational number (except if the rational number happens to be zero).

The product of an irrational number and a rational number, both nonzero, is always irrational

No.A rational times an irrational is never rational. It is always irrational.

If you multiply a rational and an irrational number, the result will be irrational.

If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.

It is always irrational.

It is always irrational.

The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.

Such a product is always irrational - unless the rational number happens to be zero.

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.

No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.

No. It's always 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)

Yes. Any time you multiply a rational number by an irrational number, you get an irrational number - unless the rational number is zero.

Yes, but only if the rational number is 0.

Yes. In fact, a rational plus or minus an irrational will always be irrational.

No, it is always irrational.

-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.

It is not always irrational.

No irrational number can turn into a rational number by itself: you have to do something to it. If you multiply any irrational number by 0, the answer is 0, which is rational. So, given the correct procedure, every irrational number can be turned into a rational number.

No. It is not defined if the rational number happens to be 0.

No, but the only exception is if the rational number is zero.

No. sqrt(2)/pi is not rational.

No. If the rational number is not zero, then such a product is irrational.

Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.

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