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Yes. Google Cauchy's proof.

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Q: Can it be demonstrated that there is a difference between the number of rational numbers and the number of irrational numbers?
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Related questions

What is the difference between rational and irrational?

rational and irrational


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.


What are the difference between decimal in rational and decimal in irrational?

A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction


The difference between two different irrational numbers?

The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.


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.


What is the sum or difference of the any two irrational numbers?

The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.


Would the difference between two irrational numbers is always going to be rational?

No. sqrt(3) - sqrt(2) is irrational.


What are the difference between natural numbers and irrational numbers?

All natural numbers are rational numbers. No irrational numbers are natural numbers.


Can difference between two irrational number can results in rational number?

Yes. 2+sqrt(3) and 5+sqrt(3). Their difference is 3, which is rational.


What is the difference between an irrational number and a rational numbers?

A rational number can be expressed as a ratio of two integers, p/q where q > 0. An irrational number cannot be expressed in such a way.


What is the difference between the decimal expansion in irrational and rational numbers?

Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.


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.