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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?

Well, honey, the square root of a negative number like -9 isn't a real number because in the real number system, the square root of a negative number isn't defined. You gotta step into the world of complex numbers if you wanna play with those imaginary roots. So, in short, the square root of -9 is as real as a unicorn riding a rainbow.


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