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**a strange solution ??????**

I was solving a tangent problem and came accross a strange thing ,

its a simple quadratic equation ,y

^{2}- 4y -8 = 0 ,

by quadratic formula , y = 2 + 2*3

^{1/2}and 2 - 2*3

^{1/2},

now if i write the same quadratic as (y-2)

^{2}= 12 ,

then i apply square root function on both sides to get y-2 = (12)

^{1/2}

NOTE : i have not written +,- in front of root 12 because on left side i have a +ve number as it is a square so then i get the answer y = 2*(3)

^{1/2}+ 2

now how can we explain this?????????