Răspuns: a = -4
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[tex]\bf a= \dfrac{1}{1 - \sqrt{2} } - \dfrac{7}{3 - \sqrt{2} } + \sqrt{8}[/tex]
[tex]\bf a= \dfrac{1+\sqrt{2}}{(1 -\sqrt{2})\cdot(1 + \sqrt{2}) } - \dfrac{7\cdot(3 + \sqrt{2} )}{(3 - \sqrt{2})\cdot(3 + \sqrt{2} ) } + \sqrt{8}[/tex]
[tex]\bf a= \dfrac{1+\sqrt{2}}{1 -2} - \dfrac{7\cdot(3 + \sqrt{2} )}{9 - 2} + \sqrt{8}[/tex]
[tex]\bf a=-\dfrac{1+\sqrt{2}}{1} - \dfrac{7\cdot(3 + \sqrt{2} )}{7} + \sqrt{8}[/tex]
[tex]\bf a=-(1+\sqrt{2}) - \dfrac{\not7\cdot(3 + \sqrt{2} )}{\not7} + \sqrt{2^{3}}[/tex]
[tex]\bf a=-1-\sqrt{2} - (3 + \sqrt{2} )+ \sqrt{2^{2}\cdot2}[/tex]
[tex]\bf a = -1-\sqrt{2} - 3 - \sqrt{2}+ 2\sqrt{2}[/tex]
[tex]\boxed{\bf\boxed{\bf a = -4}}[/tex]
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