Why is divide by zero not the square root of infinity?

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Searching through past posts I didn’t see anything specific to this. As I understand it, we can approximate what occurs when dividing by zero if you graph the function [y=1/x](https://i.imgur.com/MebU9l3.png) (ripped from google)

As X approaches zero, it becomes both infinity or negative infinity, which results in it being undefined.

Couldn’t positive or negative infinity be defined as the square root of infinity? or the square root of infinity squared? Obviously not all infinities are equivalent.

Thanks

Sincerely, a person who failed math

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6 Answers

Anonymous 0 Comments

Mainly because that doesn’t really make any sense.

Consider mainly what division is, division is taking a group of objects and splitting it into that many groups how many objects are in each group.

Take 50, divide it into 2 groups, and each group contains 25 objects.

How do you take a group of objects and divide them into no groups?

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