Question

What is the solution of the equation when solved over complex numbers? x^2+27=0

Answer 1

${x}^{2} + 27 = 0 \\ {x}^{2} = - 27 \\ x = + - \sqrt{ - 27} \\ x = + - \sqrt{27 \times ( - 1) }$
$x = + - 3 \sqrt{3} \times \sqrt{ - 1}$
$x = + - 3 \sqrt{3} i$