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Complex numbers simplify square roots of negative numbers

Complex Numbers Simplify Square Roots Of Negative Numbers class=

Sagot :

Lets do

[tex]\\ \sf\longmapsto \sqrt{-100}[/tex]

[tex]\\ \sf\longmapsto \sqrt{-(10)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{10^2}\sqrt{-1}[/tex]

[tex]\\ \sf\longmapsto 10i[/tex]

Write in standard form

[tex]\\ \sf\longmapsto 10i[/tex]

[tex]\\ \sf\longmapsto \boxed{0}+\boxed{10}i[/tex]

Step-by-step explanation:

√-100

√-(10)²

√10²√-1

10i

0+10i