Statistics - Why squaring is used to calculate error in RMSE

@sonicboom8 wrote:

In linear regression, the way root mean square is calculated is by:
1. Taking the distance of the point from the line
2. Squaring the values (to get positive values)
3. Taking the mean
4. And taking square root

Why absolute values are not taken (which returns positive values) instead of squaring the values and then taking square root?

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