Thread: how does this work?

I know that

1+√5 = 3√(2+√5) = 1.618033989
2


but what is the math behind it specifically a way to simplify
3√(2+√5) to 1+√5

2


Thanks

Just to make this clear its (1+√5)/2 which equals 3√(2+√5) I hope that is clear.

Hello,

Originally Posted by Smoriginal

Just to make this clear its (1+√5)/2 which equals 3√(2+√5) I hope that is clear.

You can prove it by cubing both sides. This is all I can see for the moment...

(note : )