Question

Simplify -* the square root of-48
`- √( - 48)`

Answer 1

Given the expression:

`-\text{ }\sqrt[]{-48}`

Let's simplify the expression.

To simplify the expression, take the following steps:

Step 1:

Rewrite -48 as 48(-1)

`-\text{ }\sqrt[]{48(-1)}`

Step 2:

Expand:

`-(\sqrt[]{48}*\sqrt[]{-1})`

Step 3:

Where √-1 = i

Rewrite √-1 as i

`\begin{gathered} -(\sqrt[]{48}* i) \\ \\ -(\sqrt[\text{ }]{48}i) \end{gathered}`

Step 4:

Rewrite 48 into smaller factors

`\begin{gathered} -(\sqrt[]{16*3}i) \\ \\ -(\sqrt[]{4^2*3}i) \\ \\ -(4\sqrt[]{3}i) \\ \\ -4\sqrt[]{3}i \end{gathered}`

Therefore, the simplified expression is:

`-4\sqrt[]{3}i`

ANSWER: D)

`-4\sqrt[]{3}i`