Proving that there are infinite rational numbers between any two different rational numbers a, b. Urgent 、、、, long thought,,,, Trial: There are infinite rational numbers between any two different rational numbers a, b. Urgent 、、、, long thought,,,,

Proving that there are infinite rational numbers between any two different rational numbers a, b. Urgent 、、、, long thought,,,, Trial: There are infinite rational numbers between any two different rational numbers a, b. Urgent 、、、, long thought,,,,

Let X be a finite number, and prove that there are more rational numbers than X.
Therefore, the hypothesis proposition is wrong, and according to the principle of inverse proposition, it is correct to suppose that the inverse proposition of the proposition "...there are infinite rational numbers...".

Let X be a finite number of rational numbers.
Therefore, the hypothesis proposition is wrong, and according to the principle of inverse proposition, it is correct to suppose that the inverse proposition of the proposition "...there are infinite rational numbers...".

To prove the existence of two irrational numbers a, b so that a^b is a rational number

E is an irrational number, ln2 is also an irrational number, but e^(ln2)=2 is a rational number.