(3√3 + 3√2) (3√9 + 3√4 - 3√6) = (1) 5 (2) 9√5 (3) 6√5 (4) 3√5

Question

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

(1) 5 

(2) \(\sqrt[9]{5}\)

(3) \(\sqrt[6]{5}\)

(4) \(\sqrt[3]{5}\)

Answer 1

Correct option is: (1) 5

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

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

\(=\sqrt[3]{27}+ \sqrt[3]{12} - \sqrt[3]{18} + \sqrt[3]{18} + \sqrt[3]{8} - \sqrt[3]{12}\)

\(= \sqrt[3]{27}+\sqrt[3]{8}\)

\(=3+2\)

\(=5\)