I learned the parts of a radical.
The Radicand, the Index, the radical sigh and sometimes a coefficient. When applying this you can idenity the parts of any radical. You simply solve this by simpifying. You can apply this when you need to simpify or make this mixed radical in to an entire radical. Some challenges are remebering the index, rembering some cube roots, square roots and etc, and another challenge is figuring out factors that are roots.
Ex.