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

The problem is this

If 5*0 = 0, then 0/0 = 5.

But then you do the same with another number

If 8*0 = 0, 0/0 = 8

So you get 5 = 8. Which obviously isn’t true. So to avoid that we have to say that anything divided by 0 is undefined.

Another reason is that anything divided by itself is 1. But anything multiplied by 0 is 0. So we have something that should be equal to both 1 and 0 at the same time, so it’s undefined