Question 244371
"one root of: sqrt(3)+ sqrt(2) all over sqrt(3)-sqrt(2)"
___ multiplying numerator and denominator by [sqrt(3)+ sqrt(2)] ___ 5 + 2 sqrt(6)
___ conjugate root ___ 5 - 2 sqrt(6)
___ resulting factor [(x - R1)(x - C1)] ___ x^2 - 10x + 1


"second root of: sqrt(11)+sqrt(10) all over sqrt(11)-sqrt(10)"
___ multiplying numerator and denominator by [sqrt(11)+ sqrt(10)] ___ 21 + 2 sqrt(110)
___ conjugate root ___ 21 - 2 sqrt(110)
___ resulting factor [(x - R2)(x - C2)] ___ x^2 - 42x + 1


multiplying the factors ___ x^4 - 52x^3 + 422x^2 - 52x + 1