In quadratic planes, imaginary numbers show up in equations that don't touch the x axis. Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations. We can solve certain equations by finding the square root of a number. For the number 25, its negative square root is -5 because (-5)^2 = 25. Similarly, it is asked, what is the square root of a negative number?Īs shown earlier, a negative square root is one of two square roots of a positive number. It is also the number multiplied by its square: n 3 = n × n 2.
For clarity, such numbers are perhaps best referred to as purely imaginary numbers. Similarly, what does cubed mean? In arithmetic and algebra, the cube of a number n is its third power: the result of the number multiplied by itself twice: n 3 = n × n × n. Although Descartes originally used the term 'imaginary number' to refer to what is today known as a complex number, in standard usage today, 'imaginary number' means a complex number that has zero real part (i.e., such that ). For example, 3 i 3i 3i, i 5 i sqrt i 5 ?i, square root of, 5, end square root, and −12i are all examples of pure imaginary numbers, or numbers of the form b i bi bi, where b is a nonzero real number. In mathematics we use i (for imaginary) but in electronics they use j (because "i" already means current, and the next letter after i is j).Īlso to know is, is the square root of 5 an imaginary number?īy taking multiples of this imaginary unit, we can create infinitely many more pure imaginary numbers. Unit Imaginary Number The "unit" Imaginary Number (the equivalent of 1 for Real Numbers) is √(−1) (the square root of minus one).
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