Question

what is the value of √i +√-i​

Answer 1

Answer:

(1+i)

5

+(1−i)

5

i=

−1

(1+i)

5

=

5

C

∘

i

∘

+

5

C

1

i

1

+

5

C

2

i

2

+

5

C

3

i

3

+

5

C

4

i

4

+

5

C

5

i

5

(1−i)

5

=

5

C

∘

i

∘

−

5

C

1

i

1

+

5

C

2

i

2

−

5

C

3

i

3

+

5

C

4

i

4

−

5

C

5

i

5

(1+i)

5

+(1−i)

5

=2(

5

C

0

+

5

C

2

(−1)+

5

C

4

(1))

=2(1+

2×1

2×4

+5)=−8