=\frac{8-6\sqrt{7}-14}{1-7}=\frac{-6-6\sqrt{7}}{-6}=\frac{-6(1+\sqrt{7})}{-6}=1+\sqrt{7}" alt="\frac{8+2\sqrt{7}}{1+\sqrt{7}}=\frac{(8+2\sqrt{7})(1-\sqrt{7})}{(1+\sqrt{7})(1-\sqrt{7})}=\frac{8-8\sqrt{7}+2\sqrt{7}-2(\sqrt{7})^{2}}{1-(\sqrt{7})^{2}}=
=\frac{8-6\sqrt{7}-14}{1-7}=\frac{-6-6\sqrt{7}}{-6}=\frac{-6(1+\sqrt{7})}{-6}=1+\sqrt{7}" align="absmiddle" class="latex-formula">