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What are Three Irrational Numbers Between 2 and 3

Answer: For example, √2 is an irrational number since it cannot be stated as a ratio of integers. I want to emphasize once again that the decimal expansion of an irrational number does neither and nor recur.

We know that the square root of √4 is 2 and that the square root of √9 is 3.

These are the irrational numbers √5, √6, √7, and √8, between 2 and 3, since they are not perfect squares and cannot be further reduced.