To solve this problem you must apply the proccedure shown below:
1. You have the folllowing expression given in the problem above:
(9+√2)/(4-√7)
2. When you simplify, you obtain the following result
=(9+√2)(4+√7) / (4-√7)(4+√7)
=(9+√2)(4+√7) / (16-4√7+4√7-7)
=(9+√2)(4+√7)/9
=7.69
The answer is: (9+√2)(4+√7)/9 or 7.69