Given the sud below to simplify
[tex]-\sqrt[]{-75}[/tex][tex]75=3\times25[/tex][tex]\begin{gathered} -\sqrt[]{-75} \\ =-\sqrt[]{-3\times25} \end{gathered}[/tex][tex]=-(\sqrt[]{-1}\times\sqrt[]{3}\times\sqrt[]{25}[/tex][tex]\begin{gathered} \text{note } \\ \sqrt[]{-1}=i \end{gathered}[/tex][tex]\begin{gathered} so, \\ =(-1)(i\times\sqrt[]{3}\times5) \end{gathered}[/tex][tex]-5i\sqrt[]{3}[/tex]Hence, the simplified expression is - 5i√3
