Question

Where does the plus minus come from (+-) ???


pls I need help

Answer 1

the idea of the ± in an even root, well, square root is an even root, however 4th, 6th and so on are also even roots and this applies to all even roots, is that, even root of some number say "x" is "y", that means that if we squared "y", we'd get "x", but but but if we square the negative of "y", we'd also get the same "x", so either the positive or negative version will really give us "x", that's a bit mumbled, let's put it this way

`√(16)=4\implies 16=4^2\qquad \textit{well, to be honest}\qquad 16=(-4)^2\qquad too \\\\\\ \textit{how do we know }\text{\LARGE 16}\textit{ came from }(+4)^2 ~~ or ~~ (-4)^2 ~~ ?\quad \textit{ we really don't know} \\\\\\ \textit{so we } incl ude \textit{ both and say }16=(\pm 4)^2\implies √(16)=\pm 4\implies \mp√(16)=4`

so the even root could have come from either the negative or positive version of the same value, because once the power is even, any negatives will turn to positives.