Question

Значение выражения
∛(〖(11+√(120)) 〗^2 )/∛(√120 –11) + √120 равно:

Answer 1

$frac{sqrt[3]{(11+sqrt{120})^2}}{sqrt[3]{sqrt{120}-11}}+sqrt{120}= \\ =frac{sqrt[3]{(11+sqrt{120})^3}}{sqrt[3]{(sqrt{120}-11)(sqrt{120}+11})}}+sqrt{120}= \\ =frac{11+sqrt{120}}{sqrt[3]{120-121}}+sqrt{120}= \\ =-11-sqrt{120}+sqrt{120}= \\ =-11$