BRAINLIEST FOR FIRST ANSWER 7. Rank the Mongol leaders from least important to most important based upon what you learned in the lesson. Explain the rank of each person and the reason for their ranking.

is easily seen that a sum of two algebraic numbers αα and ββ is algebraic since one has:

Q(α+β)⊆Q(α,β).

Q(α+β)⊆Q(α,β).

Hence, Q(α+β)Q(α+β) is finite-dimensional since Q(α,β)=Q(α)(β)Q(α,β)=Q(α)(β) is, indeed recall that:

[Q(α,β):Q]=[Q(α,β):Q(α)][Q(α):Q].

[Q(α,β):Q]=[Q(α,β):Q(α)][Q(α):Q].

If pp is an annihilator polynomial of αα and qq one of ββ, then resY(p(Y),q(X−Y))resY(p(Y),q(X−Y)) is an annihilator polynomial of α+βα+β.

In your case, use p=X2−2p=X2−2 and q=X3−5q=X3−5 to find that X6−6X4−10X3+12X2−60X+17X6−6X4−10X3+12X2−60X+17 is an annihilator polynomial of

Explanation:

found this one someone elses genius but i was the first answer

bismarck believed in using force

is the correct answer!