Question

Find the cube root of the rational number $\frac{64}{1331}$

• A. $\frac{8}{21}$
• B. $\frac{5}{11}$
• C. $\frac{8}{11}$
• D. $\frac{2}{11}$

Answer 1

The correct option is C $\frac{8}{11}$

cube root of $\frac{64}{1331}$

$={\left(\frac{64}{1331}\right)}^{1/3}$

$={\left(\frac{8\times 8\times 8}{11\times 11\times 11}\right)}^{1/3}$

$=\frac{8}{11}$