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18 minutes ago, Brainee said:

Arithmetrics is said to be used during algebra.

Where is it said? What is a duration of algebra?

 

19 minutes ago, Brainee said:

What about square roots, exponents etc.

They are functions and operations.

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Elementary algebra, as others said or implied, is using the properties of numbers that are known to be satisfied for every number in order to, eg, solve equations among other things.

The word comes from an old Arabic term, al jabr, which means something like 'the restoration'.

There is a so-called abstract algebra, in which you generalise the idea to less familiar, but quite consistent, quantities and operations: rings, groups, and so on.

I hope that helps / complements what other have --correctly-- said.

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