which of the following shows √-16 simplified and writen as a complex number

Answer 1

To simplify \( \sqrt{-16} \) and express it as a complex number, you can follow these steps:

1. Recognize that \(-16\) can be expressed using the imaginary unit \(i\), where \( i = \sqrt{-1} \).
2. Rewrite \(-16\): \[ \sqrt{-16} = \sqrt{16 \cdot -1} = \sqrt{16} \cdot \sqrt{-1} \]
3. Simplify: \[ \sqrt{16} = 4 \quad \text{and} \quad \sqrt{-1} = i \] So, \[ \sqrt{-16} = 4i \]

Therefore, \( \sqrt{-16} \) simplified and written as a complex number is \( 4i \).