# Is a rational number plus a rational number always a rational number?

Yes.

Yes, it is.

### 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.

### What is an irrational plus two rational numbers?

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

### Is a rational plus an irrational equals a rational?

No. A rational plus an irrational is always an irrational.

### If x is a rational number and y is a rational number than is x plus y rational?

If both numbers are rational then x plus y is a rational number

### Is a rational number always a rational number?

As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.

### How can you prove that 3 plus 2x⁵ is an irrational number where x⁵ is irrational?

1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.

### 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.

### 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 there exist an irrational number such that its square root is rational?

No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be… Read More

### 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.

### 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 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.

### 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 quotient of an integer divided by a nonzero integer always be a rational number Why?

Yes, always. That is the definition of a rational number.

### Is the quotient of a rational number and an irrational number rational?

No. It's always irrational.

### Is a real number always sometimes or never a rational number?

Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.

### Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?

The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.

### Is a rational number plus a rational number rational?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

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

It will be irrational.

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

It is always irrational.

### What is a quotient of two integers that is always a rational number?

It is an incomplete definition of a rational number.

### What kind of number will you always get when you add two rational numbers?

Another rational number.

### Are rational number is a fraction sometimes always or never?

Rational numbers can always be expressed as fractions.

### Is it true product of a non zero rational number and irrational number is rational number?

It is always FALSE.

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

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

### Which is larger a positive rational number or a negative rational number?

Any positive number is always bigger than a negative number - whether they are rational or 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).

### If x is rational and y is rational then xy is rational?

Yes, the product of two rational numbers is always a rational number.

### Is real number is always a rational number?

No,, not always. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

### Is an irrational number divided by an irrational number always a rational?

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

### Is the inverse of a rational number also rational?

Always, unless the original number is zero. This does not have an inverse.

### Does a rational number repeat?

A rational number always repeats or terminates which can be thought of as repeating zeroes.

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

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

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

It is always irrational.

### Is the product of two rational numbers irrational?

The product of two rational number is always rational.

### What is the product of two rational numbers?

The product of two rational numbers is always a rational number.

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

No, it is always irrational.

### Why is the quotient of an integer divided by a nonzero integer always a rational number?

Because that is how a rational number is defined!