Kết quả của phép tính \(\left( {\sqrt[3]{9} - \sqrt[3]{6} + \sqrt[3]{4}} \right)\left( {\sqrt[3]{3} + \sqrt[3]{2}} \right)\) là

Đáp án đúng là: D

Ta có:

\(\left( {\sqrt[3]{9} - \sqrt[3]{6} + \sqrt[3]{4}} \right)\left( {\sqrt[3]{3} + \sqrt[3]{2}} \right)\)

\( = \sqrt[3]{9}.\sqrt[3]{3} - \sqrt[3]{6}.\sqrt[3]{3} + \sqrt[3]{4}.\sqrt[3]{3} + \sqrt[3]{9}.\sqrt[3]{2} - \sqrt[3]{6}.\sqrt[3]{2} + \sqrt[3]{4}.\sqrt[3]{2}\)

\( = \sqrt[3]{{{3^3}}} + \sqrt[3]{{18}} - \sqrt[3]{{18}} - \sqrt[3]{{12}} + \sqrt[3]{{12}} + \sqrt[3]{{{2^3}}}\)

\( = 3 + 2 = 5\).