What is the value of \(\left( {2{\rm{}} + {\rm{}}\sqrt 2 } \right){\rm{}} + {\rm{}}\left( {\frac{1}{{2{\rm{}} + {\rm{}}\sqrt 2 }}} \right){\rm{}} + {\rm{}}\left( {\frac{1}{{2{\rm{}} - {\rm{\;}}\sqrt 2 }}} \right){\rm{\;}} + {\rm{}}\left( {2 - \sqrt 2 } \right){\rm{\;}}?\)

• A. 2
• B. 4
• C. 8
• D. 6