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Q: If a number is Irrational then it is a Real number?

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

Every irrational number is a real number.

An irrational number is a real number.

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

Irrational numbers are real numbers.

irrational number

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

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

The square root of 8 is irrational and real.

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.

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

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