Question

Find the cube root of $\frac{864}{1372}$

• A. 6/7
• B. 8/7
• C. 16/7
• D. 6/17

Answer 1

The correct option is A 6/7

$Primefactorizationof864and1372,864=6^3\ast 2^{2}1372=7^3\ast 2^2\frac{864}{1372}=\frac{2^2\ast 6^3}{7^3\ast 2^2}\sqrt[3]{3\frac{864}{1372}}=\frac{6}{7}$