Question

What is the simplified form of the reciprocal of √-48 ?

Answer 1

1/4sqrt(3)i

Answer 2

thanks

Answer 3

\[\frac{1}{\sqrt{-48}}=\frac{1}{\sqrt{16\times 3\times -1}}\]
\[=\frac{1}{4\times \sqrt{3}i}\]
\[=\frac{1}{4\times \sqrt{3}i}\times \frac{\sqrt{3}i}{\sqrt{3}i}\]
\[=-\frac{\sqrt{3}}{12}i\]