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

Mathematics

1 answer:

emmainna [20.7K]3 years ago

5 0

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$$

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