Question

Which expression is equivalent to square root of -108 minus square root of -3

Answer 1

sqrt(-108) - sqrt(-3) produces two imaginary terms: -i*sqrt( 36*3) -i*sqrt( 3).
Let's simplify that:

-i [ 6*sqrt(3) - 1*sqrt(3) ] = -i * 5* sqrt( 3) (answer)

Answer 2

5 sqrt 3i is the correct answer