Question

2 root 6 minus root 5 divided by 3 root 5 minus 2 root 6​

Answer 1

Step-by-step explanation:

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