There can be no solution to this problem because the 1/2 power
is the same as the square root and square roots can only be taken
of non-negative numbers to give non-negative numbers.
This equation
(p/q)^(1/2) + (q/p)^(1/2) + (n/l)^(1/2) = 0
which is equivalent to
+ + = 0
is three non-negative numbers adding up to 0. This is impossible
unless they were all three 0. But that is impossible because
if the first term were 0 then p would have to be 0. But that would
mean that the second term would have a zero in the denominator
which is undefined. So this problem has no solution. Sorry. If
there is a typo, then you may give the correct problem in the thank-
you note.
Edwin