Question

$\frac{1}{1- \sqrt{2} } - \frac{7}{3- \sqrt{2} } + \sqrt{8}$

Answer 1

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