What is the following quotient? 9+√2/4-√7

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