Which rational number and an irrational number are there between 2 and 3?

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Rational number 2.1 and irrational number 2.040040004….

Rational number 2.040040004…. and irrational number 2.1.

Rational number 2.83 and irrational number 2.9.

Rational number 2.5 and irrational number 2.04060406.

answer is A.

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Detailed Solution

It is given that we have to find a rational and an irrational number between 2 and 3.
A rational number is of the form

p q,

where p and q are integers and

q ≠ 0

, otherwise, it is an irrational number.
We know that there is an infinite number of rational and irrational values between any two numbers.
A rational number between 2 and 3 is 2.1.
To find an irrational number between 2 and 3, it should be a non-terminating, non-recurring number lying between them. Therefore, such a number will be 2.040040004…..
Therefore, the correct answer is a rational number 2.1 and an irrational number 2.040040004….
Therefore, the correct option is (1).

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