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Question
Write the conjugates of the following complex number:
`-sqrt(-5)`
Solution
Simplifying the given equation by separating `sqrt−1` from it.
`- sqrt5 = - sqrt 5 sqrt -1`
`= - sqrt5i ...("As i" = sqrt -1)`
Comparing the given equation with `a+ib`
`a = 0 and b = - sqrt5`
Inverting the sign for imaginary part gives,
Conjugate: a - ib
= 0 - (- sqrt5i)`
`= 0 + sqrt5i`
`= sqrt5i`
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