if 0*0=0, why can’t you divide 0 by 0 (the square root of 0) and get 0 (the square root of 0)?

Question

ditto for cube root, nth root, etc.

In: 5

Answer 1

If we have to pick a number for 0/0, then it should be 1. Because for any other real number x/x = 1. So if you use lim x->0 (x/x), if you approach from both side, you will get 1.

It’s also why 0^0 is usually consider as 1.