Which one of the following is a square root of - -1 ?

Step-by-step solution

aligned & since, (- -1 )^ 1 2 = -i =x+ iy (let) & -i=x^2-y^2+2 x y i 2 x y=-1, x^2-y^2=0 aligned after solving these equation, we get aligned & x= -1 2 , y= 1 2 & - i = ( 1 2 - i 2 ) 1- i 2 = 1- i 2 or -1+ i 2 aligned