Question

The value of $\sqrt[3]{3\frac{125}{216}}$ is

• A. $\frac{4}{5}$
• B. $\frac{5}{6}$
• C. $\frac{2}{3}$
• D. $\frac{5}{3}$

Answer 1

The correct option is B

$\frac{5}{6}$

$\sqrt[3]{3\frac{125}{216}}=\frac{\sqrt[3]{3125}}{\sqrt[3]{3216}}$

$=\frac{\sqrt[3]{35\times 5\times 5}}{\sqrt[3]{36\times 6\times 6}}$

$=\frac{5}{6}$