Given the expression:
[tex]-\text{ }\sqrt[]{-48}[/tex]
Let's simplify the expression.
To simplify the expression, take the following steps:
Step 1:
Rewrite -48 as 48(-1)
[tex]-\text{ }\sqrt[]{48(-1)}[/tex]
Step 2:
Expand:
[tex]-(\sqrt[]{48}\times\sqrt[]{-1})[/tex]
Step 3:
Where √-1 = i
Rewrite √-1 as i
[tex]\begin{gathered} -(\sqrt[]{48}\times i) \\ \\ -(\sqrt[\text{ }]{48}i) \end{gathered}[/tex]
Step 4:
Rewrite 48 into smaller factors
[tex]\begin{gathered} -(\sqrt[]{16\times3}i) \\ \\ -(\sqrt[]{4^2\times3}i) \\ \\ -(4\sqrt[]{3}i) \\ \\ -4\sqrt[]{3}i \end{gathered}[/tex]
Therefore, the simplified expression is:
[tex]-4\sqrt[]{3}i[/tex]
ANSWER: D)
[tex]-4\sqrt[]{3}i[/tex]
