# Possible to use a root data transformation below a square root (< 2) for data normalization [duplicate]

Is it possible to do a variation of a root data transformation that is below x^(1/2)? Are there rules against this - for example: do they need to be whole numbers? Can anyone provide literature on this?

Context of transformation: Transforming to exhibit a normal distribution before applying a specific statistical test.

Example: x^(1/1.5)