# How do I add the following? Z1=3-\sqrt{-2}\ \text{and}\ Z2=4+\sqrt{-4}?

How do I add the following? ?
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MoxboasteBots5h
Following on from Peter She’s collapsed answer:
${z}_{1}=3-\sqrt{-2}=3-\sqrt{2}i$
${z}_{2}=4+\sqrt{-4}=4+\sqrt{4}i=4+2i$
Thus ${z}_{1}+{z}_{2}=\left[3-\sqrt{2}i\right]+\left[4+2i\right]$
$=\left(3+4\right)+\left(2-\sqrt{2}\right)i=7+\left(2-\sqrt{2}\right)i$
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ramirezhereva
$Z1=3-\sqrt{-2}=3-\sqrt{2}i$
$Z2=4+\sqrt{-4}=4+2i$
$Z1+Z2=7+2i-\sqrt{2}i=7+\left(2-\sqrt{2}\right)i=7+\sqrt{2}\left(\sqrt{2}-1\right)i$