Sorry if this is a dumb question (I'm new). I swear I searched and read forums first!
I'm trying to rewrite expressions in terms of the Golden Ratio. For example, I know 9+4Sqrt is Phi^6, but can figure out how to get mathematica to tell me that.
Ideally it would also tell me that 10+4Sqrt is 1+Phi^6 (and more complex versions).
Edit: Thanks everyone! I should have been more specific about my "more complex examples". The problem is, I have no clue what form they'll end up in. I guess I'm hoping for a "FullSimplify" analogue that uses GoldenRatio wherever reasonable. Here's a couple actual examples:
Sqrt[(3 (935 - 65 Sqrt + 4 Sqrt[15 (1205 + 298 Sqrt)]))/4490] 1/2 Sqrt[1/ 10 (3123 + 1251 Sqrt - 2 Sqrt[4386990 + 1955766 Sqrt])]
I'll try to use, or modify, the suggestions already made. I'll post anything that seems "share-worthy". Sorry for not being more spoecific from the start. Again, thanks for the help!