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Find a rational and irrational number between and

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An Intiative by Sri Chaitanya

and

answer is A.

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Detailed Solution

In mathematics, all those real numbers which are not rational numbers are called irrational numbers.
Now, in question, it is given that we have to find a number which is a rational and irrational number which lies between

and

To find a rational number between

and

so what we can do is we can take p and q such that we get a terminating decimal from expression

which lies between

and

.
Now, on seeing the values of

and

and comparing them with values of

and

Hence,

and

are the rational number an irrational number lying between

and

.
So, option 1 is correct.

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