КР Алгебра 10 класс "Действительные числа"

Question

Помогите пожалуйста выполнить эти задания

natali_belska_3 · Accepted Answer

(5 - 2V6)^(1/3) * (5 + 2V6)^(1/3) =
= [ (5 - 2V6) * (5 + 2V6) ]^(1/3) =
= [5^2 - (2V6)^2 ]^(1/3) =
= (25 - 4*6)^(1/3) =
= (25-24)^(1/3) = 1^(1/3) = 1
(a - b)^(1/4)) * (a + b)^(1/4)) + Vb =
= [a^2 - (b^(1/4)^2] + Vb =
= [a^2 - b^(1/4 * 2)] + Vb =
= [a^2 - Vb] + Vb = a^2