упростите выражение

см. вложение

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                                                          Решение:

(2^(3/2))^1/3*sqrt(4-sqrt(15))+3^(3/2)^1/3=sqrt(8-2sqrt(15))+sqrt(3)=sqrt(((sqrt3-sqrt5))^2)+sqrt(3)=|sqrt(3)-sqrt(5)|+sqrt(3)=sqrt(5)-sqrt(3)+sqrt(3)=sqrt(5).