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2 years ago

Complex numbers simplify square roots of negative numbers

Mathematics

2 answers:

sergey [27]2 years ago

8 0

Step-by-step explanation:

√-100

√-(10)²

√10²√-1

10i

0+10i

Bogdan [553]2 years ago

3 0

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

$\\ \sf\longmapsto 10i$

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

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Step-by-step explanation:

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3 years ago

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