# Can you multiply an irrational number and a rational number to get a rational number?

Yes, but only if the rational number is 0.

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

It will be irrational.

### 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

### 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 -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).

### 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.

### 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.

### How do you turn an irrational number in to a rational number?

Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power

### 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.

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

Yes, that's quite simple. It's obvious it has to be that way, because 1(rational number)*number(even irrational) has to be that number itself.

### Turn irrational number into rational number by multiplication?

Multiply it by 0. The result is 0, which is rational. That is the only way that will work with all irrational numbers.

### How can you multiply 2 irrational number to get a rational number?

The square root of 2, for example, is irrational. sqrt(2)*sqrt(2) = 2 which is rational.

### Can you multiply an irrational number times an irrational number and get a rational number?

Well, (pi) x (1/pi) = 1 .

### Can You multiply a rational and irrational number and get an irrational product?

Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).

### What types of numbers can you multiply together to get a rational number?

You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.

### The rational numbers are a subset of the irrational numbers?

No, they are complementary sets. No rational number is irrational and no irrational number is rational. Irrational means not rational.

### 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.

### Is the product of two irrational numbers always an irrational number?

No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.

### Whether a rational number multiplied by an irrational number gives an irrational number?

rational * irrational = irrational.

### Can the product of any two irrational numbers be a rational number?

Yes. For example, if you multiply the square root of 2 (an irrational number) by itself, the answer is 2 (a rational number). The golden ratio (Phi, approx. 1.618) multiplied by (1/Phi) (both irrational numbers) equals 1 (rational). However, this is not necessarily true for all irrational numbers.

### 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 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.

### What is the Next to rational and irrational number?

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).

### 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 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]

### Is three an irrational number rational number both rational and irrational or neither rational or irrational?

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.

### When you multiply two irrational numbers the result is called what?

If you multiply two irrational numbers, the result can be rational, or irrational.

### Does an irrational number multiplied by an irrational number equal an irrational number?

The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.

### The sum of a rational number and an irrational number is?

The sum of a rational and irrational number must be an irrational number.

### The sum of a rational number and an irrational number and an irrational number is what?

The sum of the three can be rational or 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 the number below rational irrational both rational and irrational or neither rational nor irrational?

If it can't be expressed as a fraction then it is an irrational number

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

It is always irrational.

### Why is it that when you multiply two irrational numbers you get a rational number?

As a general rule you don't; you do if you choose them carefully.

### What happens when a rational number is divided by an irrational number?

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.

### What is a rational number number which is not a rational number?

There is no such thing as a number that is both rational and irrational. By definition, every number is either rational or irrational.

### May the sum of a rational and an irrational number only be a rational number?

No. In fact the sum of a rational and an irrational MUST be irrational.

### Can you add an irrational number and a rational number to give an irrational?

No, but you can add an irrational number and a rational number to give an irrational. For example, 1 + pi is irrational.

### Is 0737373 rational irrational both rational and irrational or neither rational?

It is rational. A number cannot be both rational and irrational.

### Is 0.555555 both rational and irrational rational neither rational nor irrational irrational?

No number can be both rational and irrational. And, at the level that you must be for you to need to ask that question, a number must be either rational or irrational (ie not neither). 0.555555 is rational.

### Is 0.292929292929 rational or irrational?

Any terminating decimal is rational. If you assume that the same two digits continue repeating ad infinitum, then it's rational as well.

### Is 4.121314 is a rational number or irrational?

it is a rational number but 4.121314..... is an irrational no

### Is a number rational or irrational?

If a number can be expressed as a fraction then it is rational if not then it is irrational.

### 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.

### Is the sum of a rational and irrational number rational or irrational?

It is always irrational.

### Is the number 3 rational irrational both rational and irrational or neither rational?

The number 3 is a rational number (as is any integer).

### Which number can be added to a rational number to explain that the sum of rational number and an irrational number is irrational?

Any, and every, irrational number will do.