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Q: Are all irrational numbers real numberzs?

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

All rational and irrational numbers are real numbers.

No. Irrational numbers form a proper subset of real numbers. That means that all irrationals are real so non-reals cannot be 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.

Yes.

Related questions

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

All rational and irrational numbers are real numbers.

Ye it is true that all irrational numbers are real numbers that can't be expressed as fractions.

Because irrational numbers are defined as all real numbers which are not rational.

No. Irrational numbers form a proper subset of real numbers. That means that all irrationals are real so non-reals cannot be irrational.

Yes.

Yes.

YesYes.

Irrational numbers are real numbers because they are part of the number line.

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.

It is an integer. All integers are rational but not irrational. All rational and 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.

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