Question

Complex numbers simplify square roots of negative numbers

Answer 1

Step-by-step explanation:

√-100

√-(10)²

√10²√-1

10i

0+10i

Answer 2

Lets do

$\\ \sf\longmapsto \sqrt{-100}$

$\\ \sf\longmapsto \sqrt{-(10)^2}$

$\\ \sf\longmapsto \sqrt{10^2}\sqrt{-1}$

$\\ \sf\longmapsto 10i$

Write in standard form

$\\ \sf\longmapsto 10i$

$\\ \sf\longmapsto \boxed{0}+\boxed{10}i$