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-√-25
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-5i
\[-5i\]
Please help explain answers as well guys :) - Owlfred the Moderator
Sure
\[\sqrt{-25}=\sqrt{25} \sqrt{-1}\]
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the square root of a negative number -1 is i. since -25=25*-1,sqrt of -25=sqrt of 25*-1. square root of 25=5, square root of -1=i .5*i=5i. negate. -5i
\[\sqrt{-25} = \sqrt{-1}\sqrt{25} = 5i\] Since you had \[-\sqrt{-25} = -5i\]
Thanks fellas.
\[\large -\sqrt{-25}\] \[\large -\sqrt{-1*5^2}\] \[\large -\sqrt{-1}*\sqrt{5^2}\] \[\large -i*5\] \[\large -5i\] Note: \[\large i=\sqrt{-1}\] So \[\large -\sqrt{-25}=-5i\]
you're welcome
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sure :)
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