Question

use the imaginary number i to rewrite the expression below as a complex number. simplify all radicals.
$-sqrt{-11}$

Explanation:

Step1: Rewrite negative radicand

$-\sqrt{-11} = -\sqrt{11 \times (-1)}$

Step2: Separate radicals using property

$= -\sqrt{11} \times \sqrt{-1}$

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

$= -i\sqrt{11}$

Answer:

$-i\sqrt{11}$