Explanation

Let the roots be α and β with α/β = p/q. Then √(p/q) + √(q/p) = √(α/β) + √(β/α) = (α + β)/√(αβ). For the equation as printed in the official paper, lx² + mx + m = 0, Vieta's formulas give α + β = −m/l and αβ = m/l, so this becomes (−m/l)/√(m/l) = −√(m/l). Adding the final term gives −√(m/l) + √(m/l) = 0, i.e. option A. (The source transcription shows the constant term as n; the cancellation to 0 requires it to be m, as in the official paper.)