Question

question 9 (4 points) simplify and write in the form a+bi. upload your handwritten work displaying how you solved to receive credit. \\((6 + \sqrt{-16}) + (-4 - \sqrt{-64})\\)

Explanation:

Step1: Rewrite square roots of negatives

$\sqrt{-16} = 4i$, $\sqrt{-64} = 8i$

Step2: Substitute into original expression

$(6 + 4i) + (-4 - 8i)$

Step3: Combine real parts

$6 + (-4) = 2$

Step4: Combine imaginary parts

$4i + (-8i) = -4i$

Step5: Combine real and imaginary results

$2 + (-4i)$

Answer:

$2-4i$