Question

use the imaginary number $i$ to rewrite the expression below as a complex number. simplify all radicals.
$-19 - \sqrt{-95}$

Explanation:

Step1: Rewrite radical of negative number

$\sqrt{-95} = \sqrt{95 \times (-1)}$

Step2: Apply imaginary number definition

$\sqrt{95 \times (-1)} = \sqrt{95} \times \sqrt{-1} = \sqrt{95}i$

Step3: Substitute back to original expression

$-19 - \sqrt{95}i$

Answer:

$-19 - \sqrt{95}i$