Question

Solve :

$\frac{4+\sqrt{5}}{4-\sqrt{5}}+\frac{4-\sqrt{5}}{4+\sqrt{5}}$

Answer 1

$\frac{4+\sqrt{5}}{4-\sqrt{5}}+\frac{4-\sqrt{5}}{4+\sqrt{5}}\frac{(4+\sqrt{5}{)}^2+(4-\sqrt{5}{)}^2}{(4+\sqrt{5})(4-\sqrt{5})}\frac{16+5+8\sqrt{3}+16+5-8\sqrt{3}}{16-5}=\frac{42}{11}$