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What is an unreal number?

Updated: 4/28/2022
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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.

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Why is square root of the number -9 not a real number?

For the same reason that the square root of ANY negative number is not a real number.Real numbers are positive, negative, or zero. * The square of a positive number is a positive number. * The square of a negative number is a positive number. * The square of zero is zero. In other words, in no case will you get a REAL number whose square is a negative number. The square roots of negative numbers are said to be "imaginary" - a name given for historical reasons. They are just as "real" or "unreal" as the so-called real numbers, but the point is that they are a different kind of numbers.


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Yes. 81 is a:- Real number - Rational number - Integer - Natural number - Counting number - Square number - Odd number


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A negative number divided by a positive number will be a negative number. For example: -20 / 4 = -5 -100 / 2 = -50 Here are the other cases of division by positive or negative numbers. A negative number divided by a negative number would be a positive number. A positive number divided by a positive number would be a positive number. A positive number divided by a negative number would be a negative number.

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