Question

Which choice is equivalent to the expression below?

✓-27
A. -3✓3
B. 3✓3
C. 3i✓3
D. -✓27
E.-3✓3i

Answer 1

C. 3i✓3

Explanation:

Which choice is equivalent to the expression below?

✓-27

Square root of a negative value, so it will have a complex part.

We have that:

`\sqt{-a^2} = ai`

In this question:

The square root of -27 can be factored as:

`√(-27) = √(3(-9)) = √(3)√(-9) = 3i√(3)`

So the correct answer is given by option C.