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Mathematics 16 Online
OpenStudy (amtran_bus):

How do you do this stuff?

OpenStudy (anonymous):

I my friend, have no idea...

OpenStudy (amtran_bus):

\[\sqrt{-5}*\sqrt{-45}\]

jigglypuff314 (jigglypuff314):

√(-5) * √(-45) = √((-5)*(-45)) = √225

OpenStudy (amtran_bus):

\[i \sqrt{5}*i \sqrt{45}\]

jigglypuff314 (jigglypuff314):

like how √3 * √3 = √(3*3) = √9 = 3

OpenStudy (amtran_bus):

So you can do that even though it is 2 negatives?

jigglypuff314 (jigglypuff314):

negative times negative equals positive, right?

OpenStudy (amtran_bus):

Right

jigglypuff314 (jigglypuff314):

wait, nevermind, it does have to do with imaginary... give me a sec :/

jigglypuff314 (jigglypuff314):

√(-5) * √(-45) = i√5 * i√45 = i√5 i * √9*5 = i√5i * 3√5 = i^2 * 3 * 5 = -1 * 3 * 5 = - 15

OpenStudy (amtran_bus):

How do you get 3*5 from the 4th step?

jigglypuff314 (jigglypuff314):

3 * √5 * √5 * i * i = 3 * 5 * i^2 sorry if it was a bit crunched

OpenStudy (amtran_bus):

OHH! Thanks!

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