Question

write the expression in the form a + bi

\\(\sqrt{-1} + 5 - \sqrt{-64}\\)

\\(\sqrt{-1} + 5 - \sqrt{-64} = \square\\)
(simplify your answer. type your answer in the form a + bi. type an exact answer, using radicals as needed.)

Explanation:

Simplify the first radical term

Using the Imaginary Unit knowledge point

$$ \sqrt{-1} = i $$

Simplify the second radical term

Using the Imaginary Unit and Complex Numbers knowledge points

$$ \sqrt{-64} = \sqrt{64} \cdot \sqrt{-1} = 8i $$

Substitute and combine like terms

Using the Complex Numbers knowledge point

$$
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$$

Answer:

Write the expression in the form a + bi

\(\sqrt{-1} + 5 - \sqrt{-64} =\) <blank>\(5 - 7i\)</blank>

(Simplify your answer. Type your answer in the form a + bi. Type an exact answer, using radicals as needed.)