Question

2 root 6 minus root 5 / 3 root 5 minus 2 root 6

Answer 1

As I think the answer is....
-5/√3

Answer 2

$= \frac{2 \sqrt{6} - \sqrt{5} }{3 \sqrt{5} - 2 \sqrt{6} } \\ \\ = \frac{2 \sqrt{6} - \sqrt{5} }{3 \sqrt{5} - 2 \sqrt{6} } \times \frac{3 \sqrt{5} + 2 \sqrt{6} }{3 \sqrt{5} + 2 \sqrt{6} } \\ \\ = \frac{6 \sqrt{30} + 24 - 15 - 2 \sqrt{30} }{45 - 24} \\ \\ = \frac{4 \sqrt{30} + 9 }{21}$