Simplifying √(3+√5)/√(3-√5)

[ozone]

IDK if this should be in the precalc section, but I was wondering how to reduce

$\sqrt{(3+\sqrt{5})} / \sqrt{(3-\sqrt{5})}$ to $(\sqrt{5} + 1) /(\sqrt{5} - 1)$

 

[ehild]

Notice that 3±√5=0.5(6±2√5)=.5(5±2√5+1)=...

ehild