Is it a new property of positive integer number $n < rad(n(n-1)(n-2))$

I checked the as follows properties holds for $1 \le n \le 3.10^7$: 
$$n < rad(n(n-1)(n-2))$$

>>**My question:** Is the property true for any positive integer number?

Rad is the [radical of an integer](https://en.wikipedia.org/wiki/Radical_of_an_integer)