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A formula is something which shows a relationship between two or more things. A formula will contain variables and may also contain constants too and it tells us the relationship between them. The answer to the question is that you square a number if, and only if, the relationship between the variables (or constants) requires the number to be squared.

For example in the famous formula e = mc2 , here we must square the constant, the speed of light in a vacuum (c), in order to calculate energy (e). It has to be squared because that constitutes the relationship between the values and there is no option to ignore that.

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Q: Why do you square a number in a mathematical formula?
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