<Tr> <Td> i = − 1 </Td> </Tr> <Tr> <Td> i = i </Td> </Tr> <P> An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i = − 1 . The square of an imaginary number bi is − b . For example, 5i is an imaginary number, and its square is − 25 . Zero is considered to be both real and imaginary . </P> <P> Originally coined in the 17th century as a derogatory term and regarded as fictitious or useless, the concept gained wide acceptance following the work of Leonhard Euler and Carl Friedrich Gauss . </P>

The square root of a negative value is called an imaginary or number
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