Yes.
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under root 16 ias a natural number
Yes. It's 4, and 4 is a natural number.
No, it is not. A natural number is a positive integer.3*3 = 9 and 4*4 = 16 and there is no natural number between 3 and 4. Therefore there is no natural number which, when squared, will give 13.
Yes and it is 4
It is a natural number, an integer, a perfect square, a perfect fourth power, a rational number, a real number, ... and so on.