Math and Arithmetic

Numbers

Irrational Numbers

Top Answer

No.

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

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0No, it is always irrational.

It is always an irrational number.

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

-- 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.

Whole numbers can never be irrational.

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

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

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

Whole numbers are always rational.

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

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

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

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

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.

No. Rather all natural numbers are necessarily rational number

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, ...

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.

Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.

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

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

Irrational numbers are real numbers.

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.

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

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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