Question

Q. An irrational number between √2 and √3 is 1) 1/2 (√2 + √3) 2) 1/2 (√3 - √2) 3)2.5 4)1.5

Answer 1

: 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,

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