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Q: If a number is a real number then is it also an irrational number?

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Every irrational number is a real number.

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.

The square root of any positive, non-square number will be both real and irrational.

An irrational number is a real number.

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.

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Every irrational number is a real number.

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.

There can be no such number.

Yes.

No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.

No, because it could be a rational number.

A rational number cannot also be irrational. A real number is either rational, or it is irrational.

The square root of any positive, non-square number will be both real and irrational.

Since pi is an irrational number, then 3pi will be an irrational also.

An irrational number is a real number.

The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.

An irrational number is any real number that cannot be expressed as a ratio of two integers.So yes, an irrational number IS a real number.There is also a set of numbers called transcendental numbers, which includes both real and complex/imaginary numbers. Of this set, all the real numbers are irrational numbers.

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