Multiple choice

If the roots of the quadratic equation $l{x}^{2}+nx+n=0$ are $p$ and $q$, then the value of $\sqrt { \cfrac { p }{ q } } +\sqrt { \cfrac { q }{ p } } +\sqrt { \cfrac { n }{ l } } $ is

  1. $1$
  2. $3$
  3. $0$
  4. $-1$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Roots p, q of lx^2 + nx + n = 0. p+q = -n/l, pq = n/l. Expression: sqrt(p/q) + sqrt(q/p) + sqrt(n/l) = (p+q)/sqrt(pq) + sqrt(n/l) = (-n/l) / sqrt(n/l) + sqrt(n/l) = -sqrt(n/l) + sqrt(n/l) = 0.

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