The Mean of squared residuals: 0.05206834
in your output is the out-of-bag MSE estimate. Just take the square root:
sqrt (tail (Rf_model$mse, 1))
(Apparently, $mse
stores the oob MSE observed for bagging 1 : n trees, the last one is the one we need.)
You can double check by manually calculating RMSE from the oob predictions:
sqrt (mean ((Rf_model$predicted - whole_data$target^2target)^2)