In math terms, it means to prove your answer and make sure it is right.
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No. Sqrt(-4) contains a radical but it not irrational; it is imaginary.
It means give logical reasons for whatever you are trying to justify.
It isn't clear what you want to justify.
No. The question contains three negative numbers. There is nothing to justify!
To justify something in math is to prove it. Example: Justify 4x = 8 when x = 2. When x = 2, 4(2) = 8. Done. By doing this I justified that 4x = 8 when x = 2.