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Q: Irrational numbers between 2 and 2.5?

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There are an infinite number of irrational numbers between 2 and 4. See the link below for the definition of irrational numbers. The two most popular irrational numbers between 2 and 4 are pi (3.14159...) and e (2.71828...).

2

Infinitely many. In fact, there are more irrational numbers between 1 and 2 as there are rational numbers - in total. The cardinality of this set is Aleph-0ne.

There are infinitely many irrational numbers between sqrt(2) and sqrt(3).

No, there are more irrational numbers between 1 and 2 than there are rational numbers.

Irrational numbers are infinitely dense. this means that there are infinitely many irrational numbers between any two numbers and so the term "next" has no meaning.

No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!

sqrt(2), sqrt(3)

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

If it is integers, you have -2, -1, 0, 1, 2 and 3. If rational numbers or irrational numbers or real numbers, there are an infinity of them between -3 and 4.

4*sqrt(2) Rational multiples of irrational numbers are irrational. sqrt(2) is about 1.414, and 5/4 = 1.25 < 1.414... < 1.75 = 7/4 so 4*sqrt(2) is between 5 and 7, and is irrational.

There are infinitely many of them. For example, +sqrt(3.1)

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