By finding the difference of them
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
There is an infinite number of them between any two rational numbers.
Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.
That is the property of infinite density of rational numbers. If x and y are any two rational numbers then w = (x + y)/2 is a rational number between them. And then there is a rational number between x and w. This process can be continued without end.
There are an infinite number of rational numbers between these two numbers, but the only positive integer between these numbers is 6.
There are an infinite number of rational numbers between any two rational numbers.
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.
There are [countably] infinite rational number between any two rational numbers. There is, therefore, no maximum.
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
There are countably infinite (aleph-null) rational numbers between any two rational numbers.
There is an infinite number of them between any two rational numbers.
Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.
That is the property of infinite density of rational numbers. If x and y are any two rational numbers then w = (x + y)/2 is a rational number between them. And then there is a rational number between x and w. This process can be continued without end.
-- 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.
There are an infinite number of rational numbers between these two numbers, but the only positive integer between these numbers is 6.