Question

If ()=2-2√3-1,find (2√3)

Answer 1

Step-by-step explanation:

Since ω=

3

−1+i

3

=

2

i

2

+i

3

⇒

3

+i=

i

2ω

=−2ωi

Thus (

3

+i)

100

=(−2ωi)

100

=2

100

⋅ω

100

i

100

=2

100

ω(1)=2

100

(

2

−1+i

3

)=2

99

(−1+i

3

)

So a=−1 and b=

3

Hence a

2

+b

2

=1+3=4