like 5 sqrt(n) and sqrt(n) will do, Now 5 sqrt(n) = sqrt(25 n), so now we
choose any n and sqrt(25 n)/sqrt(n) will do the trick, as long as n is not a
perfect square when the numerator and denominator will be integers -
which we do not want.
be 5, which is an integer but may be written 5/1 so is rational.
What you want is for both the numerator and denominator to be irrational,
as sqrt(125) and sqrt(5) are.
(there is no irrational number equal to 5)