Imaginary number (nonfiction)

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In mathematics, 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 i2 = −1.

The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25. Zero is considered to be both real and imaginary.

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.

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