Question

Please Help ASAP! Simplify roots of negative numbers. Express your answer in simplified form.

Answer 1

`3i\sqrt2`

Explanation:

We can rewrite the square root of negative 18 as
`√(18) \cdot√(-1)`. 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
`3\sqrt2`. Now, the square root of negative one can be rewritten as
`i`, so this is equal to
`3i\sqrt2`