Trig problem - Reducing

\(\displaystyle 1 + \sqrt 3 = \sqrt 3 + 1\)

\(\displaystyle \left( {\frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right)\left( {\frac{{\sqrt 3 - 1}}{{\sqrt 3 - 1}}} \right) = ?\)
 
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