Question

solve this plz






the answer should come
(2✓3+3✓2+✓30)/12​

Answer 1

Step-by-step explanation:

$\frac{1}{ \sqrt{3} + \sqrt{2} - \sqrt{5} } \times \frac{ \sqrt{3} + \sqrt{2} + \sqrt{5} }{ \sqrt{3} + \sqrt{2} + \sqrt{5} } \\ = \frac{ \sqrt{3} + \sqrt{2} + \sqrt{5} }{ {( \sqrt{3} + \sqrt{2} )}^{2} - {( \sqrt{5}) }^{2} } \\ = \frac{ \sqrt{3} + \sqrt{2} + \sqrt{5} }{3 + 2 + 2 \sqrt{6} - 5 } \\ = \frac{ \sqrt{3} + \sqrt{2} + \sqrt{5} }{2 \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \\ = \frac{ \sqrt{18} + \sqrt{12} + \sqrt{30} }{2 \times 6} \\ = \frac{3 \sqrt{2} + 2 \sqrt{3} + \sqrt{30} }{12}$

hope you get your answer