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.

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Q: Is every Real number an irrational number?

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Every 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.

Yes every irrational and rational number is a real number.

Yes.

No. It could be a rational or an irrational

No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.

Yes.

Yes.

Yes irrational numbers are real numbers that are part of the number line,

Yes, it does.

Yes.

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

Numbers are split into real and imaginary. Rational numbers are under the category: Real. Therefore all rational numbers are real. An irrational number is also real, but can not be expressed as a fraction.

An irrational number is a real number.

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.

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

Irrational numbers are real numbers.

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.

irrational number

No. "Pi", "e", and the square root of 2 are all real and irrational.

yes. an irrational number is any real number that is not a rational number

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

The square root of 8 is irrational and real.

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

No; most real numbers are rational, actually, except for some, most famously 'pi'.