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

When you are asking “what is *a* divided by *b*”, what you’re really asking is “What number, when multiplied by *b*, equals *a*?”

In this case, what number, when multiplied by 0, equals 0? And the answer is, every number. And that’s why the answer is undefined, because it doesn’t give a concrete answer.