Precalculus (6th Edition) Blitzer

The word “imaginary” in imaginary numbers represents the imaginary unit which is the solution of the equation, ${{x}^{2}}=-1$ The square root property is such that if ${{x}^{2}}=k$, then $x=\pm \sqrt{k}$. The imaginary numbers are used to represents the roots of the quadratic equations. So, the imaginary numbers do exist and these are defined. Therefore, the provided statement does not make sense.