grated daikon radish
Refers to the food itself: daikon radish that has been grated into a fine, juicy pulp. Commonly used as a condiment or side dish in Japanese cuisine.
Adding grated daikon to grilled fish makes it refreshing.
Please eat it with plenty of grated daikon on top.
daikon grater
Refers to the tool used to grate daikon radish. Often a flat grater with fine teeth, sometimes called 大根おろし器 (daikon oroshiki) for clarity.
I bought a new daikon grater, so let's make grated daikon tonight.