If \({\rm{x}} = \sqrt 2 - \frac{1}{{\sqrt 2 }}\) and \({\rm{\;y}} = \sqrt 2 + \frac{1}{{\sqrt 2 }}\), then, what is the value of \({\rm{\;}}\left( {\frac{{{{\rm{x}}^2}}}{{{{\rm{y}}^2}}} + \frac{{{{\rm{y}}^2}}}{{{{\rm{x}}^2}}}} \right)\)?
1
82/9
2
41/3
3
123/8
4
152/9