Question

( begin{aligned} 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})} &=16+5+frac{8 sqrt{5}+16+5-8 sqrt{5}}{16-5} &=frac{42}{11} end{aligned} )

# V3 4+55 4-15 Simplify 4-55 4+55 1

Solution