Question

Root(5+12i) + root(5-12i)/ root(5+12i) - root(5-12i) = 1. -3/2 i 2. 3/2i 3. -3/2 4. 3/2

Answer 1

5+12i= 3^2+ (2i)^2+2*3*2i= (3+2i)^2 or (-3-2i)^2
hence √5+12i=(3+2i) or (-3-2i)
hence √5-12i =(3-2i) or (-3+2i) using property of conjugate

henceRoot(5+12i) + root(5-12i)/ root(5+12i) - root(5-12i)=3/2i