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Question
Insert a rational number and an irrational number between the following:
`sqrt(2)` and `sqrt(3)`
Sum
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Solution
We know that, there are infinitely many rational and irrational values between any two numbers.
A rational number between `sqrt(2)` and `sqrt(3)` i.e., between 1.4142...... and 1.7320...... is 1.5.
An irrational number between `sqrt(2)` and `sqrt(3)` is 1.585585558..........
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Chapter 1: Number Systems - Exercise 1.3 [Page 9]
