Answer
$i\sqrt 2$
Work Step by Step
$\frac{\sqrt -54}{\sqrt 27}=\frac{i\sqrt 54}{\sqrt 27}=i\times\frac{\sqrt 54}{\sqrt 27}=i\times\sqrt \frac{54}{27}=i\times\sqrt 2=i\sqrt 2$
We know that $\sqrt -1=i$, because $i^{2}=-1$.
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