Obtain a polynomial of lowest degree with integral coefficient, whose one of the zeroes is `sqrt5+sqrt2.`

If p(x) be a polynomial of the lowest degree with integer coefficients such that one of its roots is (sqrt(2)+3sqrt(3)) then |p(1)| is equal to

sqrt(2) is a polynomial of degree

sqrt(2) is a polynomial of degree

sqrt(3) is a polynomial of degree

sqrt2 is a polynomial of degree 0.

The equation of fourth degree with rational coefficients one of whose roots is sqrt(3)+sqrt(2) is

The equation of lowest degree with rational coefficients,one of whose roots is sqrt(7)+sqrt(3) is x^(4)-20x^(2)+16=0 The equation of lowest degree with rational coefficients.One of whose roots is sqrt(2)+i sqrt(3) is x^(4)+2x^(2)+25=0

The equaiton of lowest degree with rational coefficients having a roots sqrt(3) + sqrt(2) is

The equation of lowest degree with rational coefficients having a root sqrt(5)+sqrt(7) is

Find a polynomial equation of minimum degree with rational coefficients , having 3-sqrt5 as a root.