Respuesta :

[tex]-\sqrt[]{-4\text{ }}\text{ = -2i or 2i}[/tex]

Here, we want to use the imaginary number to rewrite the given expression as a complex number

Mathematically, the complex number can be written as;

[tex]i\text{ = }\sqrt[]{-1}[/tex]

Thus, we have;

[tex]\begin{gathered} -\sqrt[]{-4\text{ }}\text{ = -1 }\times\text{ }\sqrt[]{-4} \\ \\ =\text{ -1 }\times\text{ }\sqrt[]{-1\text{ }}\text{ }\times\text{ }\sqrt[]{4} \\ \\ =\text{ -1 }\times\text{ i }\times\text{ }\sqrt[]{4} \\ =\text{ -1 }\times\text{ i }\times\text{ }\pm2 \\ \\ =\text{ -2i or 2i} \end{gathered}[/tex]