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Find the value of √i +√-i ?

3 Answers

1
vikrant001 ·

√2

1057
Ketan Chandak ·

how?can u explain?

71
Vivek @ Born this Way ·

Use Demoivre's theorem. I guess you write

i = cos π/2 + i sin π/2 = eiπ/2 => √i = eiπ/4 => cos π/4 + i sin π/4

-i = cos -π/2 + i sin -π/2 = e-iπ/2 => √-i = e-iπ/4 => cos -π/4 + i sin -π/4

Add both.

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