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Q: What standards separate a real number from an irrational number?

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

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 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.

Related questions

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

Every 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.

It's irrational/not a real number

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