Roots are my friends

There are infinite rational numbers between any two rational numbers.

Guys, you are correct with your concept but

it would be a bit unjust to say that The solution cannot be determined because there are

infinite number of rational numbers between any two rational numbers.

because clearly it asks smallest rational number in the form $\frac{x}{y}$ where x and y both are squared

integers which perhaps could be possible...............lets check

1 4 9 16 25 36 49 64 81 100

$\frac{4}{1}$ > $\frac{9}{4}$ > $\frac{16}{9}$ > $\frac{25}{16}$ >.........and so on the fraction goes smaller and smaller.

So very clearly,

the reason it cannot be determined is because as you go further you always get a rational number (fraction)

which is smaller than the previous one. Hope my explanation is clear. suggestions are always welcome.