i. Let the number be x, then the reciprocal is 1/x
sum = \(x+\frac{1}{x}\)
This is not a polynomial, because here the operation of reciprocal is involved.
ii. Let the number be x, then the square root is √x
sum = x + √x
This not a polynomial because here the square root is taken.
iii. Let x be the number
(x + √x) (x – √x) = x2 – x
This is a polynomial.