Question

write a rational number between √2 and √3

Answer 1

Ans.

I think the required rational number is 3/2.

Answer 2

√2 = 1.4142...
√3 = 1.7321...

1.45, 1.5, 1.55, 1.6, 1.65, 1.7 lies between √2 and √3
Hence the rational numbers between √2 and √3 are:
145/100, 15/10, 155/100, 16/10, 165/100 and 17/10

.......................or..........................

We know
Root 2 = 1.414
Root 3 = 1.732

Now, we can write n number of rational number between these. That is just greater than 1.414 and less than 1.732 and it should be terminating or not terminating but repeating.
For example
1.415659756, 1.416893, 1.715644, ...

Hope it will help you