QuestionLearn with an example Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $$-\sqrt{-27}$$ $\square$ i $\sqrt{5}$ Submit

Studdy Solution
Simplify the square root of 27. Notice that 27 can be factored into:
$$27 = 9 \times 3$$
Thus:
$$\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}$$
Substitute back into the expression:
$$-\sqrt{27} \times i = -3\sqrt{3} \times i$$
The simplified expression as a complex number is:
$$\boxed{-3\sqrt{3}i}$$