Write a rational number between and .

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answer is A.

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Detailed Solution

Concept- Knowing the values of the square roots of 2 and 3 will make it much easier for us to answer this question. Furthermore, understanding rational numbers is important since they enable us to make the best decisions.
Let's discuss numbers that are referred to as rational numbers first, then solve the problem.
In the field of mathematics, the number that can be written as the quotient or fraction

of two numbers, where q cannot equal to 0, is known as a rational number. Now, q returns an integer value if it equals 1. All integers are rational numbers, therefore.
It is now assumed that the answer must be a number that is both reasonable and falls between

and

.
Let's look at the possibilities first; they are

and 5, and they are all reasonable integers.
Finding the values of

and 5 in integral or decimal form is what we'll accomplish next.
So,

and 5.
We now know that

roughly equates to 1.414 and

roughly equates to 1.732.
Now, when comparing the numbers 1.5, 2, 2.5, and 5 to the values

and

, we observe that only 1.5 is a number that is rational and falls between

and

.
Hence, option 1 is correct.

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