Given the expressions:
[tex]\begin{gathered} \sqrt[]{-4} \\ \sqrt[]{-5} \end{gathered}[/tex]remember that we can factor the -1 and use the following property of imaginary numbers:
[tex]\sqrt[]{-1}=i[/tex]then, we have the following:
[tex]\begin{gathered} \sqrt[]{-4}=\sqrt[]{-1\cdot4}=\sqrt[]{-1}\cdot\sqrt[]{4}=2\cdot i \\ \sqrt[]{-5}=\sqrt[]{-1\cdot5}=\sqrt[]{-1}\cdot\sqrt[]{5}=\sqrt[]{5}\cdot i \end{gathered}[/tex]
