The square root of 100 is rational since it is not repeating. No. The square root of a negative number is not a real number, but an imaginary number, because no real number squared equals a negative number. The square root of a negative number is a so-called IMAGINARY number
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It is a theoretical number, which is written as 10i. This was developed as a way to compute the negative numbers. So instead, it is a mathematical function, and therefore not a rational number.