4 ms·
The radical symbol always refers to a single-valued function by convention. x^(1/n) is used for multi-valued functions in complex analysis, not the 'n-radical'
by mannerheim 4y ago
The radical symbol always refers to a single-valued function by convention.
x^(1/n) is used for multi-valued functions in complex analysis, not the 'n-radical' symbol, which would usually refer to the principal root.
- thehappypm 4y agoSure, but doesn’t that weaken the proof? It is an arbitrary restriction on the function that is required
- mannerheim 4y agoBarely? It proves it for the principal root, and you can trivially prove it for the negative root using the principal root's irrationality.