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Mathematics 30 Online
OpenStudy (anonymous):

simplify i sqrt -45

OpenStudy (anonymous):

\[ i\sqrt{-45} = \sqrt{-1}\sqrt{-45}=\sqrt{45}=3\sqrt{5} \]

OpenStudy (anonymous):

\[i\sqrt{-45}=i\sqrt{5}i=-\sqrt{45}\] then write \(\sqrt{45}\) in simplest radical form

OpenStudy (anonymous):

@Ahaanomegas \[\sqrt{ab}=\sqrt{a}\sqrt{b}\] only if \(a,b>0\)

OpenStudy (anonymous):

so the answer is negative, not positive

jimthompson5910 (jim_thompson5910):

satellite73, the 'a' could be negative and that formula would still work

OpenStudy (anonymous):

yes, i was not quite correct

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