Question

write the expression in the form a + bi.

\\\frac{-3 - \sqrt{-36}}{9}\\

\\\frac{-3 - \sqrt{-36}}{9} = \box\\
(type an exact answer, using radicals and i as needed.)

Explanation:

Simplify the radical expression

Using the Imaginary Unit knowledge point

$$ \sqrt{-36} = \sqrt{36} \cdot \sqrt{-1} = 6i $$

Substitute and split the fraction

Using the Complex Numbers knowledge point

$$ \frac{-3 - 6i}{9} = -\frac{3}{9} - \frac{6i}{9} $$

Reduce the fractions to simplest form

Using the Rational Expressions knowledge point

$$ -\frac{1}{3} - \frac{2}{3}i $$

Answer:

Write the expression in the form \(a + bi\).

$$\frac{-3-\sqrt{-36}}{9} =$$

<blank>\(-\frac{1}{3}-\frac{2}{3}i\)</blank>