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How is an imaginary number defined?

Updated: 4/28/2022
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6y ago

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An imaginary number is a continuous quantity that is the square root of a negative number and cannot be represented on the real number line.

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6y ago
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Anthony Bookman

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6mo ago
well im in school trying to cheat

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Q: How is an imaginary number defined?
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How do you turn imaginary numbers into real numbers?

The imaginary number (i) is defined as the square root of -1. If you multiply i by i you get -1


What best describes an imaginary number?

You can describe it as a number defined such that i squared = -1.You can also define the complex plane first, and then describe an imaginary number as a complex number in which the real part is zero.


What is a negative square root defined as?

If you're referring to the square root of a negative number, it's an imaginary number.


What is s in Laplace transforms?

The Laplace transform of a function f(t), defined for all real numbers t ≥ 0, is the function F(s), defined by: : The parameter s is a complex number: : with real numbers σ and ω. A complex number is defined as a number comprising a real numberpart and an imaginary number part. An imaginary number is a number in the form bi where b is a real number and i is the square root of minus one. (Wiki search)


What is 5i?

Welcome to the world of imaginary and complex numbers. i is defined to be a number such that i2 = -1. i is imaginary ( that is not real) 5i is i+i+i+i+i . There is no simpler form than 5i . Please see the attached link for more about imaginary numbers.


What is an unreal number?

Imaginary and complex numbers are an extension of the Real Number system. They are not called unreal. An imaginary number is a non-existent number, like the square root of a negative number. For example, the square root of -4 is 2i (i stands for imaginary). There are also complex numbers, which are defined as the sum of a real number and an imaginary number (e.g. 4 + 3i). An imaginary number does not exist, but can nevertheless be useful in certain applications. An imaginary number is any number that is the product of a real number and the square root of negative one (-1). The square root of -1 is the "unit" of the set of imaginary numbers, and is referred to as "i". As you know, negative numbers cannot have square roots, and so the square root of any negative number is "imaginary". There are also "complex numbers", which are the sum of a real number and an imaginary number. For example 3 + 2i.


What is an imaginary number?

The square root of a negative real number is an imaginary number.We know square root is defined only for positive numbers.For example,1) Find the square root of (-1)It is imaginary. We say that square root of (-1) is i.In fact they are not real numbers.2) Find the square root of (-4)-4 can be written as (-1)(4)Square root of 4 is 2 and square root of (-1) is iSo, the square root of -4 is 2i.Similarly, we can find the square root of other negative numbers also.Source: www.icoachmath.comAn imaginary number is defined to handle square roots of negative numbers. The imaginary unit i is defined as the 'positive' square root of -1.


How is a complex number defined?

A complex number is a two-dimensional continuous quantity that is the sum of a real number and an imaginary number expressed in the form a+bi and plotted on a complex coordinate plane with the real line on the horizontal x-axis and the imaginary line on the vertical y-axis.


Can a number be imaginary but not pure imaginary?

Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.


Is the zero imaginary number?

An imaginary number is a square root of a negative number. Imaginary numbers have the form bi where b is a non-zero (real number) and i is the imaginary unit, defined as the square root of − 1.if we define 'imaginary numbers' as 'complex numbers having a real part as 'zero' and a non-zero imaginary part'.. 0 doesn't fit in this description. But by, convention and for theoretical symmetry , we'll have to define 'real numbers' in pretty much the same way, and hence 0 would neither be a purely imaginary number or a purely real number.Overall i would say that 0 is a real number. Imaginary numbers only involve square roots of negative numbers.http://wiki.answers.com/Is_the_zero_imaginary_number#ixzz16w9viQWx


Can a no real number be a pure imaginary number?

If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.


Can you divide an imaginary number by a real number?

an imaginary number is imaginary so no (i guess) this answer kind of sucks