Step-by-step explanation:
In the set of all real numbers the square root of negative number does not exist.
In the set of complex number the square root of negative number is exist.
[tex]i=\sqrt{-1}[/tex] - the imaginary unit
[tex]\sqrt{-2}=\sqrt{(-1)(2)}=\sqrt{-1}\cdot\sqrt2=i\sqrt2[/tex]
Used
[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}[/tex]
