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Every real number is either rational, or irrational. Examples of Irrational Numbers include:

* The square root of any positive integer, except that of a perfect square.

* The number pi.

* The number e.

* Any of the above, multiplied by or added to a rational number - for example 2 x pi, 2/3 times the square root of 2, etc.

* An expression like 10 to the power x is irrational for most values of x.

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Q: What number is real and irrational?
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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.


What is a real number is also irrational number?

Every irrational number is a real number.


What standards separate a real number from an irrational number?

An irrational number is a real number.


Can a real number that is not a rational number is a?

A real number which is not a rational number is an irrational number.


Is an irrational number cannot be a real number?

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What real number is also irrational?

All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.


Is a real number that is not a rational number is a?

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Is the square root of 8 a real number or a rational number or an irrational number or integers or a whole number?

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Is an irrational number plus an irrational number rational?

No. The sum of an irrational number and any other [real] number is irrational.


Is every irrational number a real number and how?

The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.


Is a real number always irrational?

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