Find the largest possible root of a number that is whole
Using 8 as an example radicand, the degree would be 3 because ∜8 is not a whole number, while √8 is not the largest possible whole root. This type of problem is easy to calculate mentally with small numbers, but for large numbers it gets tricky. Is there a way to calculate it without iterating through degrees until the right one is found? It seems the answers may involve logarithms.
Thanks in advance.