A complex number a+bi in which b ≠ 0 is a non-real complex number. I sense some confusion in your question. A pure imaginary number is any complex number whose real part is equal to 0. pure imaginary number. But in electronics they use j (because "i" already means current, and the next letter after i is j). If you're seeing this message, it means we're having trouble loading external resources on our website. A complex number is generally denoted by z and the imaginary part of any complex number is represented by I[z]. In order to find roots of complex numbers, which can be expressed as imaginary numbers, require the complex numbers to be written in exponential form. $\begingroup$ It should be added that in modern mathematics there is almost never any reason to talk about imaginary numbers in general -- just about everything you can say about imaginary numbers is just as valid about all the complex numbers, so it is usually said in that more general form. Complex numbers are in the form a+bi, where a and b are real numbers. The imaginary part of a complex number is, hence, a real number that is accompanied by the imaginary unit . Such a number, written as for some real number , is an imaginary number. -4 2. Imaginary numbers are called imaginary because they are impossible and, therefore, exist only in the world of ideas and pure imagination. (More than one of these description may apply) 1. In mathematics the symbol for √(−1) is i for imaginary. Learn about the imaginary unit i, about the imaginary numbers, and about square roots of negative numbers. non-real complex number. The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. I’m going to give the real definition and motivation for complex numbers. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Unit Imaginary Number. Imaginary numbers result from taking the square root of a negative number. So a complex number has a real part ("a") and an imaginary part ("bi"). any number that can be written in the form of a + bi where a and b are real numbers. All imaginary numbers are complex numbers but all complex numbers don't need to be imaginary numbers. If a = 0 and b uni2260.alt1 0, the number a + bi is a pure imaginary number. Question 484664: Identify each number as real, complex, pure imaginary, or nonreal complex. A pure imaginary number is any complex number whose real part is equal to 0. In the real numbers, 1 is the real unit, and the set of all real numbers (also known as the real number line) is just the set of all multiples of this unit by a real number.In the same way, we can construct an imaginary number line consisting of all multiples of the imaginary unit by a real number. A complex number written in the form a+bi (or a+ib) is in standard form. Can you take the square root of −1? 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