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Complex numbers simplify square roots of negative numbers

Complex numbers simplify square roots of negative numbers-example-1

2 Answers

3 votes

Explanation:

√-100

√-(10)²

√10²√-1

10i

0+10i

User MiDri
by
4.4k points
5 votes

Lets do


\\ \sf\longmapsto √(-100)


\\ \sf\longmapsto √(-(10)^2)


\\ \sf\longmapsto √(10^2)√(-1)


\\ \sf\longmapsto 10i

Write in standard form


\\ \sf\longmapsto 10i


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

User Sreeragh A R
by
4.1k points