Simplify, if possible $$ \sqrt{-18}=\square $$ (Simplify your answer. Type an exact answer, using radicals and $$ i $$ nee

Question

UpStudy AI · Accepted Answer

To simplify $$ \sqrt{-18} $$, we'll use the concept of imaginary numbers, where $$ i = \sqrt{-1} $$.

$$
\sqrt{-18} = \sqrt{-1 \times 18} = \sqrt{-1} \times \sqrt{18} = i \times \sqrt{18}
$$

Next, simplify $$ \sqrt{18} $$:

$$
\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}
$$

Now, combine the results:

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

**Final Answer:**

$$
3\sqrt{2}\,i
$$
$$ \sqrt{-18} = 3\sqrt{2}\,i $$

Simplify, if possible \( \sqrt{-18}=\square \) (Simplify your answer. Type an exact answer, using radicals and \( i \) nee