1)

One of the values of (1+i2)23 is


A) (12×3+i)

B) -i

C) i

D) 3+i

Answer:

Option A

Explanation:

(1+i2)2/3 = (12+12i)2/3

= (cos 45º + i sin45º)2/3 = (cos 2/3 × 45° + i sin 2/3 × 45°)

= (cos 30° + i sin 30°)

= 32+i×12 = 1/2 × (√3 +i)