Find the conjugate of each of the following:

Question:

Find the conjugate of each of the following:

$-\sqrt{-1}$

 

Solution:

Given: $z=-\sqrt{-1}$

The above can be re - written as

$Z=-\sqrt{i^{2}}\left[\because \mathrm{i}^{2}=-1\right]$

$z=0-i$

So, the conjugate of $z=(0-i)$ is

$\bar{z}=0+i$

Or $\bar{z}=i$

 

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