Question

express \\(6 + \sqrt{-25}\\) as a complex number (in terms of \\(i\\)):
\\(6 + \sqrt{-25} =\\)

Explanation:

Simplify the radical term

$$ \sqrt{-25} = \sqrt{25 \cdot (-1)} = \sqrt{25} \cdot \sqrt{-1} = 5i $$

Combine with the real part

$$ 6 + \sqrt{-25} = 6 + 5i $$

Answer:

Express \(6 + \sqrt{-25}\) as a complex number (in terms of \(i\)):
\(6 + \sqrt{-25} =\) <blank>\(6 + 5i\)</blank>