Question

Rewrite the expression as a complex number in standard form a+bi

Answer 1

Answer:

$\textbf{ a + bi = 2 + i }$

Step-by-step explanation:

$\textup{Given:}\\ \frac{4 + \sqrt{16 - (4)(5)}}{2} \\\textup{This can simplified as:}\\\vspace{6mm}$

$\frac{4 + \sqrt(-4)}{2} \vspace{6mm}\\ \implies \frac{4 + 2i}{2} \vspace{5mm}\\ \implies 2 \left( \frac{2 + i}{2} \right) \vspace{5mm}\\ \therefore a + bi = 2 + i$