There are infinitely many of them.
They include
square root of (4.41)
square root of (4.42)
square root of (4.43)
square root of (4.44)
square root of (4.45)
square root of (5.3)
square root of (5.762)
square root of (6)
square root of (6.1)
square root of (6.2)
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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.
No, there are more irrational numbers between 1 and 2 than there are rational numbers.
No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!
No. sqrt(3) - sqrt(2) is irrational.