-15-√-18/33

(-15 - 3√2 i)/33

-15/33 - 3√2/33 i
-5/11 - √2/11 i

To simplify the expression -15 - √(-18)/33, let's break it down step by step:

1. Start by simplifying the expression within the square root: √(-18).
Since the number inside the square root is negative, we know that the result will involve imaginary numbers.

To compute this, first, we can rewrite -18 as -1 * 18:
√(-1 * 18)

Next, we can take out the square root of -1, which is denoted as "i" (imaginary unit):
i√18

2. Now, the expression becomes: -15 - (i√18)/33

Since we can't simplify any further, we can leave the expression in this form.