math
posted by nancy on .
find a polynomial with integer coefficients such that square root of 3 + square root of 5 is a root of the polynomial

There are an infinite number of polynomials with that as one solution, but one of the simplest would be the one for which 3  sqrt5 is also a solution. That would be
(x 3 sqrt5)(x 3 +sqrt5)= 0
(x3)^2 5 = 0
x^2 6x +4 = 0