Answer:
[tex]\textbf{$a + bi = 2 + i$}\\[/tex]
Step-by-step explanation:
[tex]\textup{Given:}\\$\frac{4 + \sqrt{16 - (4)(5)}}{2}$\\\textup{This can simplified as:}\\\vspace{6mm}\\[/tex]
[tex]$ \frac{4 + \sqrt(-4)}{2}$\vspace{6mm}\\$\implies \frac{4 + 2i}{2}$\vspace{5mm}\\$\implies 2 \left( \frac{2 + i}{2} \right)$\vspace{5mm}\\$\therefore a + bi = 2 + i$[/tex]
