Q. The value of $(1 + i)^{4} (1 + \frac{1}{i})^{4}$ is

1452 222 Complex Numbers and Quadratic Equations Report Error

A

12

9%

B

2

21%

C

8

27%

D

16

43%

Solution:

$(1 + i)^{4} \times (1 + \frac{1}{i})^{4} = (1 + i)^{4} \times (1 - i)^{4}$
$= (1 - i^{2})^{4} = (1 + 1)^{4} = 2^{4} = 16$