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Mathematics 20 Online
OpenStudy (anonymous):

radical -120

OpenStudy (anonymous):

\[\sqrt{-120}\]?

OpenStudy (anonymous):

i guess you can say either it is not a real number or you can say it is the complex number \(\sqrt{120}i\) or \(2\sqrt{30}i\)

OpenStudy (anonymous):

It's 2i radical 5

OpenStudy (anonymous):

actually it isn't

OpenStudy (anonymous):

not if it is \[\sqrt{-120}\]

OpenStudy (anonymous):

yeah radical negative 120

OpenStudy (anonymous):

ok then since \(-120=4\times 30\times -1\) you have \[\sqrt{-120}=\sqrt{4}\sqrt{30}\sqrt{-1}=2\sqrt{30}i\]

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