Is my answer correct?

Question

Simplify: (4)/(6-2√6)

(A) 1+ (√6 i)/(3)

(B) 3 + (√3 i)/(3)

(C) 2 + (3√6 i)/(4)

(D) 2 - (√6)/(6)

(E) None of the above

For this I got; (E) None of the above. Is this correct?

Answer 1

Yes.

The original has no imaginary part, so D and E are the only reasonable choices, and D is not the right answer.