Explain to me like I’m 5, how to determine the square root of a random positive number. And I don’t mean common sense like 16=4, I need to understand the logic.
In: 6
Outside of those “simple” roots you can NOT determine a proper square root, you can only approximate it.
That’s because square roots are either integers if the number is a perfect square (that’s the “common sense”) or irrational, for any other number.
Irrational numbers have infinite non-repeating representations as decimals (or any other numeric system).
The ways of calculating the roots are so complicated because they aren’t really calculating it directly, only finding out more and more digits of the answer in an infinite loop.
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