Question

2✓6-✓5 ÷ 3✓5-2✓6
how to solve​

Answer 1

Answer:

$\frac{4 \sqrt{30} + 9 }{21}$

Step-by-step explanation:

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

Answer. 4√30+9/21