Which expression is equivalent to sqrt - 108 - sqrt - 3

The answer is 5 √3 i

Step-by-step explanation:

We are looking for the answer of this equation

x=√-108 - √-3

By the Radical Properties of Multiplication

x=√ (36*-3) - √-3

x = (√36 √-3) - √-3

x=6√-3 - √-3

x=5√-3

x=5√ (3*-1)

x=5 (√3 √-1)

We know that √-1=i

So the final answer x=5 √3 i

That can be written as a complex number:-

= - 108 - √3 i