Use the imaginary number \( i \) to rewrite the expression below as a complex number. Sir all radicals. \( -1-\sqrt{-5} \)

To express the given expression \( -1 - \sqrt{-5} \) as a complex number using the imaginary unit \( i \), follow these steps: 1. **Express the Square Root of a Negative Number:** The square root of a negative number can be written in terms of \( i \), where \( i = \sqrt{-1} \). Specifically: \[ \sqrt{-5} = \sqrt{5} \cdot \sqrt{-1} = \sqrt{5} \cdot i = i\sqrt{5} \] 2. **Substitute Back into the Original Expression:** Replace \( \sqrt{-5} \) with \( i\sqrt{5} \) in the original expression: \[ -1 - \sqrt{-5} = -1 - i\sqrt{5} \] 3. **Write in Standard Complex Form:** The standard form of a complex number is \( a + bi \), where \( a \) is the real part and \( b \) is the imaginary part. Thus: \[ -1 - i\sqrt{5} \] So, the expression \( -1 - \sqrt{-5} \) written as a complex number is: \[ -1 - i\sqrt{5} \] **Final Answer:** \[ -1 - i\,\sqrt{5} \]