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Some would say that there is no intersection.

However, if the set of Irrational Numbers is considered as a group then closure requires rationals to be a proper subset of the irrationals.

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Q: What is the intersection of the rational numbers and the irrational numbers?
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Related questions

What is the intersection between rational numbers and irrational numbers?

The intersection between rational and irrational numbers is the empty set (Ø) since no rational number (x∈ℚ) is also an irrational number (x∉ℚ)


What is the intersection of the rational and irrational numbers?

There isn't any. If there were, then the intersection would consist of all the numbers that are both rational and irrational, and there aren't any of those.


Can some numbers be rational and irrational?

No. The intersection of the two sets is null. Irrational numbers are defined as real numbers that are NOT rational.


What is the intersection of the set of rational numbers and the set of irrational number?

Its a null set.


What is a number that is a natural number and an irrational number?

Natural numbers are a part of rational numbers. All the natural numbers can be categorized in rational numbers like 1, 2,3 are also rational numbers.Irrational numbers are those numbers which are not rational and can be repeated as 0.3333333.


Are rational numbers is an irrational numbers?

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.


Are there irrational numbers that are not rational?

All irrational numbers are not rational.


What are the solutions of rational algebraic equations?

They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.


All rational and irrational numbers are?

All rational and irrational numbers are real numbers.


Are irrational numbers rational numbers?

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.


Can irrational numbers be rational numbers?

No. If it was a rational number, then it wouldn't be an irrational number.


What numbers belongs to rational and irrational numbers?

Rational=1.25,1.5,1.75 Irrational= 1.3333333333,1.66666666666,1.999999999