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Q.

One value of (1+i)1/2 is 21/ 4 eiπ/8  . The other value is 

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a

21/4e−i(π/8)

b

21/4e−i(5π/8)

c

21/4ei(5π/8)

d

21/4⋅ei(9π/8)

answer is D.

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Detailed Solution

1+i=212+i12=2cisπ41+i12=2cisπ4122cis⁡π41/2=21/4cis⁡2kπ+π42;k=0,1=21/4eiπ8;21/4ei9π8

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