Question

use the imaginary number $i$ to rewrite the expression below as a complex number. simplify all radicals.
$-sqrt{-49}$

Explanation:

Step1: Rewrite negative radicand

$-\sqrt{-49} = -\sqrt{49 \times (-1)}$

Step2: Split the radical

$= -\sqrt{49} \times \sqrt{-1}$

Step3: Substitute $\sqrt{-1}=i$ and simplify

$= -7 \times i$

Answer:

$-7i$