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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)

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7y ago
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7y ago

Since no number can be both rational and irrational, there is no element in the intersection.

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7y ago

It is an empty set.

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

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 rational numbers and the irrational numbers?

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.


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

Its a null set.


Are there more rational numbers than irrational numbers true or false?

In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.


Are more rational numbers than irrational numbers true or false?

In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.


What is the number of rational numbers between square root 3 and square root 5?

Infinitely many. In fact, there are more irrational numbers between them than there are rational numbers.Infinitely many. In fact, there are more irrational numbers between them than there are rational numbers.Infinitely many. In fact, there are more irrational numbers between them than there are rational numbers.Infinitely many. In fact, there are more irrational numbers between them than there are rational numbers.


List of rational and irrational numbers?

-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.


Are there irrational numbers between rational numbers?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


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.


What is the difference between rational and irrational in math?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


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.