Question

ex 1 va rog ajutati-ma

Answer 1

   
[tex]\displaystyle\\ \frac{3}{2 \sqrt{2}- \sqrt{5} } +(1- \sqrt{2} )^2 -\sqrt{5} = \\\\ =\frac{3(2 \sqrt{2}+\sqrt{5})}{(2 \sqrt{2}- \sqrt{5})(2 \sqrt{2}+\sqrt{5}) } +(1- \sqrt{2} )^2 -\sqrt{5} = \\\\ =\frac{3(2 \sqrt{2}+\sqrt{5})}{4\cdot 2- 5 } +(1-2\sqrt{2}+2 ) -\sqrt{5} = \\\\ =\frac{3(2 \sqrt{2}+\sqrt{5})}{3 } +1-2\sqrt{2}+2 -\sqrt{5} = \\\\ =\underline{2 \sqrt{2}}+\underline{\underline{\sqrt{5}}}+1-\underline{2\sqrt{2}}+2 -\underline{\underline{\sqrt{5}}} = 1+2 = \boxed{3} [/tex]