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2.4 complex numbers score: 2/20 answered: 2/20 question 3 express \\(4 …

Question

2.4 complex numbers
score: 2/20 answered: 2/20
question 3
express \\(4 + \sqrt{-4}\\) as a complex number
\\(4 + \sqrt{-4} =\\)

Explanation:

Simplify the radical term

$$ \sqrt{-4} = \sqrt{4 \cdot (-1)} = \sqrt{4} \cdot \sqrt{-1} = 2i $$

Combine with the real part

$$ 4 + \sqrt{-4} = 4 + 2i $$

Answer:

Express \(4 + \sqrt{-4}\) as a complex number

\(4 + \sqrt{-4} =\) <blank>\(4 + 2i\)</blank>