[tex]( \frac{1}{ \sqrt{2} +1} + \frac{1}{3+ \sqrt{2} } - \frac{47}{7(6 \sqrt{2}+5 } )*7=[/tex]
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[tex]( \sqrt{2} -1+3- \sqrt{2} - \frac{47(6 \sqrt{2-5} )}{7*47}) *7=(2- \frac{6 \sqrt{2}-5) }{7} )*7=( \frac{14-6 \sqrt{2}+5 }{7} )*7[/tex]=
[tex]19-6 \sqrt{2} [/tex]