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Earn +20 ptsQ: Irrational numbers between 2 and 2.5?
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What are the irrational numbers between 1.414213 and 1.732050?
2
How many irrational numbers are there between 1 and 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.
Are all number between 1 and 2 rational numbers?
No, there are more irrational numbers between 1 and 2 than there are rational numbers.
Are all numbers between 1 and 2 rational numbers?
No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!
Would the difference between two irrational numbers is always going to be rational?
No. sqrt(3) - sqrt(2) is irrational.
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