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The square root of a negative number is considered an imaginary number. In this case, the square root of -2 is represented as √(-2) = √2i, where i is the imaginary unit equal to the square root of -1. This is because the square root of -1 is not a real number, so we introduce the concept of imaginary numbers to handle such cases in mathematics.
Add the real and the imaginary parts separately.
The square root of -8 is sqrt(8)*i where i is the imaginary square root of -1. It can also be written as 2*sqrt(2)*i - which looks a bit neater when the radical sign is used. That is, unfortunately, not possible with this browser.
It is plus or minus ( 1 + i) / sqrt(2) multiply together and you get i
It's not only irrational, it's also imaginary.