Question

find the rational number between ✓2 and ✓6​

Answer 1

approximate value of ✓2 is 1.414..

✓6 is 2.449..

we can take 1.5, 1.42 , 2,2.3,.....
where 15/10, 142/100 , 2/1 , 2.3/10..
are in the form p/q
p and q are integers and q is not equal to 0

Answer 2

Value of root 2 = 1.414....

Value of root 6 = 2.449....

Now,

So there are many rational number between them as follows:-

1.414 < 2.449

So now

1.6 or you can say 16 by 10 is a rational number between √2and √6.