No, scaling is not necessary for random forests.
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The nature of RF is such that convergence and numerical precision issues, which can sometimes trip up the algorithms used in logistic and linear regression, as well as neural networks, aren’t so important. Because of this, you don’t need to transform variables to a common scale like you might with a NN.
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You’re don’t get any analogue of a regression coefficient, which measures the relationship between each predictor variable and the response. Because of this, you also don’t need to consider how to interpret such coefficients which is something that is affected by variable measurement scales.