Question

Find the product of $2\times \sqrt[3]{34}\times 3\times \sqrt[3]{316}$

• A. $24$
• B. $48$
• C. $12$
• D. $16$

Answer 1

Answer: (A)

$24$

$2\times \sqrt[3]{34}\times 3\times \sqrt[3]{316}$

$=2\times \sqrt[3]{32^2}\times 3\times \sqrt[3]{32^4}$

$=2\times 2^{\frac{2}{3}}\times 3\times 2^{\frac{4}{3}}$

$=2^{1+\frac{2}{3}+\frac{4}{3}}\times 3$

$=2^3\times 3=8\times 3=24$