To solve this problem you must apply the proccedure shown below:
You have the following expression given in the problem above:
(9+√2)/(4-√7)
Therefore, you have that when you simplify, you obtain the following expression:
[(9+√2)/(4-√7)](4+√7)/(4+√7))
(36+9√7+4√2+14)/9
Therefore, as you can see, the correct answer is:(36+9√7+4√2+14)/9