Question

question 3
drag the labels to the correct locations. each label can be used more than once, but not all labels will be used.
simplify the expression by rewriting it as a complex number in the standard form \\(a + bi\\).

\\\sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{\text{___} \cdot 12^2}\\
\\= 8 + \text{___} \cdot \sqrt{12^2}\\
\\= 8 + \text{___}\\

labels:
-1, -12, i, -i, 12i, 144i

Explanation:

Rewrite the radicand using factors

$$ \sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{-1 \cdot 12^2} $$

Separate the radical factors

$$
LATEXBLOCK0
$$

Simplify to standard form

$$
LATEXBLOCK1
$$

Answer:

Simplify the expression by rewriting it as a complex number in the standard form \(a + bi\).

$$
LATEXBLOCK0
$$