Math and Arithmetic
Numbers
Irrational Numbers

# Is The difference of two real numbers always an irrational number?

###### Wiki User

No.

5 and 2 are real numbers. Their difference, 3, is a rational number.

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## Related Questions

### Are numbers below 0.833 always irrational numbers?

No, numbers less than 0.833 are not always irrational. For instance, 0.2 isn't an irrational number

### List of rational and irrational numbers?

-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.

### What is the sum or difference of the any two irrational numbers?

The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.

### Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.

### 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 1210 a irrational number?

Whole numbers are always rational.

### Why is a real number always rational?

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.

### Is an irrational number always a real numbeR?

All numbers are real. A number being irrational just means that is does not have a definite end.

### Are some rational numbers are irrational numbers?

Absolutely not. A real number is always either rational or irrational. The two are mutually exclusive.

### How the difference of two rational numbers can be rational and irrational?

There is no number which can be rational and irrational so there is no point in asking "how".

### 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.

### Are irrational numbers always natural numbers?

No. Rather all natural numbers are necessarily rational number

### Which irrational number is closest to 6?

Irrational numbers are infinitely dense. That is to say, between any two irrational (or rational) numbers there is an infinite number of irrational numbers. So, for any irrational number close to 6 it is always possible to find another that is closer; and then another that is even closer; and then another that is even closer that that, ...

### What is the difference between surds and irrational numbers?

A surd is a number expressed as a square root (or some other root). Such roots are usually irrational; but irrational numbers also include other numbers, which CAN'T be expressed as the root of a rational number. For example, pi and e.

### 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.

### If a number is a real number then is it also an irrational number?

No. All irrational numbers are real, not all real numbers are irrational.

### Can irrational numbers be rational numbers?

No. If it was a rational number, then it wouldn't be an irrational number.

### The difference of two irrational numbers is an irrattinal number?

The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.

### How does rational number different from fractional number?

There is no difference. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

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

No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.

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