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Mathematics 17 Online
OpenStudy (anonymous):

Do negative numbers have square roots?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Thank you, how come? Shouldn't all numbers have a square root?

OpenStudy (anonymous):

imaginary numbers

OpenStudy (anonymous):

Thank you :)

OpenStudy (anonymous):

no they do not because no matter what you square you can never have a positive number.

OpenStudy (radar):

Any negative number can be expressed as a product of the positive value of the number times a -1, for example \[\sqrt{-4}=\sqrt{4(-1))}\] thus the answer can be expressed as:\[\pm2\sqrt{-1}\ The square root of -1 is referred to as the imaginary number "i" In electronics field it is referred to as the j operator, although termed imaginary it is real when solving complex quantities.

OpenStudy (aravindg):

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OpenStudy (anonymous):

imaginary

OpenStudy (aravindg):

thats what i said

OpenStudy (anonymous):

i stated it a while ago

OpenStudy (anonymous):

I suppose you could say they are defined to have square roots because i is defined to be the square root of -1

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