What is the following quotient? 9+square root of 2 divided by 4-square root of 7

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