The value of 3√343/125 = 3√32 x 6 is _______. (1) 11.2 (2) 1.12 (3) 112 (4) None of these

Question

The value of \(\sqrt[3]{\frac{343}{125}} \times \sqrt[3]{32 \times 6}\)  is _______.

(1) 11.2

(2) 1.12

(3) 112

(4) None of these

Answer 1

Correct option is: (4) None of these.

\(\sqrt[3]{\frac{343}{125}} \times \sqrt[3]{32 \times 6}\)

\(= \sqrt[3]{\frac{7 \times 7 \times 7}{5 \times 5 \times 5}} \times \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3}\)

\(= \frac{7}{5} \times 2 \times 2 \times \sqrt[3]{3}\)

\(=\frac{28}{5} \sqrt[3]{3}\)