Question

$$p = 5 - 2 \sqrt { 6 } \frac { 1 } { p }$$

Solve for p

$p = \frac{\sqrt{25 - 8 \sqrt{6}} + 5}{2} \approx 3.66233408$
$p = \frac{-\sqrt{25 - 8 \sqrt{6}} + 5}{2} \approx 1.33766592$