152779

1, The quadratic polynomial with integer coefficients which has x=1+√2 as a root could possibly be
x2-3-2√2=0
and the other root of this equation must be
x=-1-√2

2, If x=1+√3is a root,the quadratic polynomial would possibly be
x2-4-2√3=0
and the other root must be
x=-1-√3

3,In case that 1+√n is a root
the quadratic polynomial would possibly be
x2-1-n-2√n=0
and the other root must be
x=-1-√n

4,In case when m+√n is a root
the quadratic polynomial would possibly be
x2-m2-n-2m√n=0
and the other root must be
x=-m-√n