[tex]a) \sqrt{14}( \frac{1}{ \sqrt{7} } - \frac{2}{ \sqrt{2} }) - \sqrt{2} + ( \sqrt{7} + 1) ^{2} = \\ \\ \sqrt{14}( \frac{ \sqrt{7} }{7} - \frac{2 \sqrt{2} }{2}) - \sqrt{2} + ( \sqrt{7} + 1) ^{2} = \\ \\ \sqrt{14}( \frac{ \sqrt{7} }{7} - \sqrt{2}) - \sqrt{2} + {( \sqrt{7} + 1) }^{2} = \\ \\ \sqrt{2} - 2 \sqrt{7} - \sqrt{2} + { \sqrt{7} }^{2} + 2 \sqrt{7} + 1 = \\ \\ \sqrt{2} - 2 \sqrt{7} - \sqrt{2} + 7 + 2 \sqrt{7} + 1 = \\ \\ ( \sqrt{2} - \sqrt{2}) + ( - 2 \sqrt{7} + 2 \sqrt{7}) + (7 + 1) = \\ \\ 8 [/tex]
