Question

Choose ,begin emphasis,all,end emphasis, the true statements.

Answer options with 6 options
A.
StartRoot negative 2 EndRoot equals StartRoot 2 EndRoot

B.
StartRoot negative 2 EndRoot equals StartRoot 2 i EndRoot

C.
StartRoot negative 8 EndRoot equals 2 i StartRoot 2 EndRoot

D.
StartRoot negative 8 EndRoot equals negative 2 StartRoot 2 EndRoot

E.
StartRoot negative 16 EndRoot equals 4 i

F.
StartRoot negative 16 EndRoot equals negative 4

Answer 1

B, C, and E.

Reason: For a>0, √(-a) = i√a (principal square root). So
√(-2) = i√2 (B),
√(-8) = i√8 = 2i√2 (C),
√(-16) = i√16 = 4i (E).