The value of (1 + i) (1 + i2) (1 + i3)(1 + i4) is A. 2 B. 0 C. 1 D

1.	The value of (1 + i) (1 + i2) (1 + i3)(1 + i4) is A. 2 B. 0 C. 1 D. i
Answer» We know that i= √(-1) i²= i × i =\(\sqrt{-1}\times\sqrt{-1}\) = -1 (1+i)(1+i²)(1+i³)(1+i⁴) = (1+i)(1+(-1))(1+i³)(1+i⁴) = (1+i)(0)(1+i³)(1+i⁴) = 0

The value of (1 + i) (1 + i2) (1 + i3)(1 + i4) is A. 2 B. 0 C. 1 D. i

Answer»

We know that

i= √(-1)

i²= i × i

=\(\sqrt{-1}\times\sqrt{-1}\)

= -1

(1+i)(1+i²)(1+i³)(1+i⁴) = (1+i)(1+(-1))(1+i³)(1+i⁴)

= (1+i)(0)(1+i³)(1+i⁴)

= 0