Question

watch the video and then solve the problem given below.
click here to watch the video.
perform the indicated operations.
\\(\frac{-5 - \sqrt{-18}}{30}\\)
\\(\frac{-5 - \sqrt{-18}}{30} = \square\\)
(simplify your answer. type your answer in the form \\(a + bi\\). type an exact answer, using radic
integers or fractions for any numbers in the expression.)

Explanation:

Step1: Simplify the imaginary radical

$\sqrt{-18} = \sqrt{9 \times 2 \times -1} = 3\sqrt{2}i$

Step2: Substitute back into the expression

$\frac{-5 - 3\sqrt{2}i}{30}$

Step3: Split the fraction

$\frac{-5}{30} - \frac{3\sqrt{2}i}{30}$

Step4: Simplify each fraction

$\frac{-1}{6} - \frac{\sqrt{2}}{10}i$

Answer:

$\boldsymbol{-\frac{1}{6} - \frac{\sqrt{2}}{10}i}$