Answer
$\frac{3}{\sqrt 7-1}$
Work Step by Step
$\frac{\sqrt 7+1}{2}=\frac{\sqrt 7+1}{2}\frac{\sqrt 7-1}{\sqrt 7-1}=\frac{\sqrt 7(\sqrt 7)+\sqrt 7(-1)+1(\sqrt 7)+1(-1)}{2(\sqrt 7-1)}=\frac{(\sqrt 7)^2-1}{2(\sqrt 7-1)}=\frac{7-1}{2(\sqrt 7-1)}=\frac{6}{2(\sqrt 7-1)}=\frac{2(3)}{2(\sqrt 7-1)}=\frac{3}{\sqrt 7-1}$
