If the ratio of the roots of the quadratic equation l x 2 + n x + n = 0 (with l, n > 0, treated formally under standard algebraic root conventions where sqrt(p/q) + sqrt(q/p) = ( alpha + beta)/(sqrt( alpha beta))) is p: q, what is the formal value of sqrt(p/q) + sqrt(q/p) + sqrt(n/l)?

If the ratio of the roots of the quadratic equation $l x^{2} + n x + n = 0$ (with $l, n > 0$ , treated formally under standard algebraic root conventions where $p / q + q / p = \frac{α + β}{α β}$ ) is $p : q$ , what is the formal value of $\frac{p}{q} + \frac{q}{p} + \frac{n}{l}$ ?

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