Simplify \(\sqrt{-9}\) to \(\sqrt{9}\imath \).
\[\sqrt{9}\imath +\sqrt{-5}-\sqrt{-36}\]
Since \(3\times 3=9\), the square root of \(9\) is \(3\).
\[3\imath +\sqrt{-5}-\sqrt{-36}\]
Simplify \(\sqrt{-5}\) to \(\sqrt{5}\imath \).
\[3\imath +\sqrt{5}\imath -\sqrt{-36}\]
Simplify \(\sqrt{-36}\) to \(\sqrt{36}\imath \).
\[3\imath +\sqrt{5}\imath -\sqrt{36}\imath \]
Since \(6\times 6=36\), the square root of \(36\) is \(6\).
\[3\imath +\sqrt{5}\imath -6\imath \]
Collect like terms.
\[3\imath -6\imath +\sqrt{5}\imath \]
Remove parentheses.
\[3\imath -6\imath +\sqrt{5}\imath \]
3*IM-6*IM+sqrt(5)*IM
