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[tex] \frac{1}{1- \sqrt{2} } - \frac{7}{3- \sqrt{2} } + \sqrt{8} [/tex]


Răspuns :

[tex] \frac{1}{1- \sqrt{2} } - \frac{7}{3- \sqrt{2} } + \sqrt{8} [/tex]
[tex] \frac{3- \sqrt{2} }{(1- \sqrt{2})*(3- \sqrt{2} ) } - \frac{7*(1- \sqrt{2})}{(3- \sqrt{2})*(1- \sqrt{2}) } + \sqrt{8} [/tex]
[tex] \frac{3- \sqrt{2} - 7*(1- \sqrt{2}) }{(1- \sqrt{2})*(3- \sqrt{2} ) } + \sqrt{8} [/tex]
[tex] \frac{3- \sqrt{2} - 7 + 7\sqrt{2} }{(1- \sqrt{2})*(3- \sqrt{2} ) } + \sqrt{8} [/tex]
[tex] \frac{6\sqrt{2} - 4}{3-\sqrt{2}-3\sqrt{2}+2 } + \sqrt{8} [/tex]
[tex] \frac{6\sqrt{2} - 4}{5-4\sqrt{2}} + \sqrt{8} [/tex]
[tex] \frac{(6\sqrt{2} - 4)(5+4\sqrt{2})}{(5-4\sqrt{2})(5+4\sqrt{2})} + \sqrt{8} [/tex]
[tex] \frac{30\sqrt{2}+48-20-16\sqrt{2}}{25-32} + \sqrt{8} [/tex]
[tex] \frac{28+14\sqrt{2}}{25-32} + \sqrt{8} [/tex]
[tex] \frac{28+14\sqrt{2}}{-7} + \sqrt{8} [/tex]
[tex]-4 - 2 \sqrt{2} + 2\sqrt{2}[/tex]
[tex]-4[/tex]