Question

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

Answer 1

That can be written as a complex number:-

= -108 - √3 i

Answer 2

The answer is 5 √3 i

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