Question

How can you "prove" that `0/0 = 2` ?

Answer 1

If we are in the world of Algebra that is incorrect. I assume you are asking a trick question.

Explanation:

`0/0 = 2/2` is not an equal proportion this is incorrect

• the proportions are not equal nor does `0 cancel=2, 2 cancel=0`

I assume you want to tell me `2 * 0 = 0/0` is that so?

Answer 2

Starting from the premise that any number divided by itself is `1`...

Explanation:

Start from the (false) premise that any number divided by itself is `1`.

Then `0/0 = 1`

So:

`0/0 = (0+0)/0 = 0/0 + 0/0 = 1+1 = 2`

Is that what you had in mind?

Footnote

In practice, division by `0` is (almost) always undefined and `0/0` is an indeterminate form.

The true version of the premise assumed above might be "Any non-zero number divided by itself is `1`".