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How do you do this stuff?
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I my friend, have no idea...
\[\sqrt{-5}*\sqrt{-45}\]
√(-5) * √(-45) = √((-5)*(-45)) = √225
\[i \sqrt{5}*i \sqrt{45}\]
like how √3 * √3 = √(3*3) = √9 = 3
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So you can do that even though it is 2 negatives?
negative times negative equals positive, right?
Right
wait, nevermind, it does have to do with imaginary... give me a sec :/
√(-5) * √(-45) = i√5 * i√45 = i√5 i * √9*5 = i√5i * 3√5 = i^2 * 3 * 5 = -1 * 3 * 5 = - 15
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How do you get 3*5 from the 4th step?
3 * √5 * √5 * i * i = 3 * 5 * i^2 sorry if it was a bit crunched
OHH! Thanks!
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