# An irrational num

Note: If a and b are two positive numbers, such that the product of a and b is not a perfect square of a rational number, then,  $\sqrt{ab}$ is an irrational number lying between "a" and "b".

So, now we have two numbers 2 and 2.5.

Now the product of these two number is 5, which is not a perfect square. So, we can say that √5 is an irrational number lying between "2" and "2.5"

√5= 2.23606797749978969, Which is a non– terminating and non- repeating decimal.

Thus, option B is the correct answer.

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