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