Please Help ASAP! Simplify roots of negative numbers. Express your answer in simplified form.
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Answer:
[tex]3i\sqrt2[/tex]
Step-by-step explanation:
We can rewrite the square root of negative 18 as [tex]\sqrt{18} \cdot\sqrt{-1}[/tex]. We can evaluate these two quantities separately. The square root of 18 can be factored to get 3 squared times 2. We can take the 3 out to get [tex]3\sqrt2[/tex]. Now, the square root of negative one can be rewritten as [tex]i[/tex], so this is equal to [tex]3i\sqrt2[/tex]