Answer:
[tex]\huge\boxed{\sf \pm 10i}[/tex]
Step-by-step explanation:
Given radical:
[tex]\pm \sqrt{-100}[/tex]
We can write it as:
[tex]\pm \sqrt{-1 \times 100} \\\\\pm \sqrt{-1} \times \sqrt{100} \\\\\underline{We \ know \ that:}\ i =\sqrt{-1} \\\\\pm i \times 10\\\\\boxed{\pm 10i}\\\\\rule[225]{225}{2}[/tex]
