Question

Simplify: -V-75 O O A - Siv3 5173 O B. - 51 OC. – 5iv 2 O D. 5i

Answer 1

Given the sud below to simplify

`-\sqrt[]{-75}`
`75=3*25`
`\begin{gathered} -\sqrt[]{-75} \\ =-\sqrt[]{-3*25} \end{gathered}`
`=-(\sqrt[]{-1}*\sqrt[]{3}*\sqrt[]{25}`
`\begin{gathered} \text{note } \\ \sqrt[]{-1}=i \end{gathered}`
`\begin{gathered} so, \\ =(-1)(i*\sqrt[]{3}*5) \end{gathered}`
`-5i\sqrt[]{3}`

Hence, the simplified expression is - 5i√3