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

Answer:

C. 3i✓3

Step-by-step 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:

$\sqrt{-27} = \sqrt{3(-9)} = \sqrt{3}\sqrt{-9} = 3i\sqrt{3}$

So the correct answer is given by option C.