Negative numbers cannot be rooted. As it can be seen on a calculator when -25 is rooted is says error. Only positive numbers can be rooted. If it resulted in a negative try going over the problem.
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A number will have both a positive and negative square root 5 x 5 = 25 and -5 x -5 = 25.
It might be rational according to the technical definition of 'rational', but it's imaginary.
The cube root of a negative number is negative
square root of a negative number is imaginary square root of negative 1 is defined as i square root of negative 144 is sqrt ((144)(-1)) = 12i
A negative square root is an imaginary number.