Math and Arithmetic
Numbers
Irrational Numbers

# When you multiply an irrational number by a rational number will the answer always be irrational rational or both?

###### Wiki User

It will be irrational.

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## Related Questions

### Is -9pie rational or irrational?

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).

### Can you multiply an irrational number by a rational number and the answer is rational?

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

### What is the classification of the product of a rational and an irrational number?

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

### Is pi over 2 a whole integer rational or irrational number?

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

### What is the product of rational and irrational number?

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

### Is the product of a rational number and an irrational number rational or irrational?

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

### Can you add irrational number and a rational to get a rational number?

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

### Is the product of a rational number and an irrational number always irrational?

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.

### 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 3pi an irrational number?

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

### Can you subract an rational and irrational number and get an irrational number?

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

### Is negative pi rational or 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.

### What irrational numbers can turn into a rational number?

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.

### Does a rational number times an irrational number equal a rational number?

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

### How can you turn an irrational number into a rational number?

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

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