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What is sqrt(-10where I =sqrt(-1) equal...

What is `sqrt(-10where I =sqrt(-1)` equal to ?

A

`+-(1-i)/(sqrt2)`

B

`+-(1+i)/(sqrt2)`

C

`+-(1-i)/(2)`

D

`+-(1+i)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Consider `sqrt(-i)=sqrt(e^(ipi//2))=+-e^(-ipi//4)=+-((1-)/(sqrt2))`
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