Evaluate: 3√4096/64 + 2 3√5832/216 - 3 3√3375 /125 + 4 3√1728/64

Question

Evaluate:

\(\sqrt[3]{\frac{4096}{64}}+2\sqrt[3]{\frac{5832}{216}}- 3\sqrt[3]{\frac{3375}{125}}+4\sqrt[3]{\frac{1728}{64}}\)

(1) 12

(2) 13

(3) -13

(4) -12

Answer 1

Correct option is: (2) 13

\(\sqrt[3]{\frac{4096}{64}}+2\sqrt[3]{\frac{5832}{216}}- 3\sqrt[3]{\frac{3375}{125}}+4\sqrt[3]{\frac{1728}{64}}\)

\(=\frac{16}{4}+ 2 \times \frac{18}{6} -3 \times \frac{15}{5} + 4 \times \frac{12}{4}\)

\(=4+6-9+12\)

\(=22-9\)

\(=13\)