Question

The subtriplicate ratio of $4913:2744$ is ____

• A. $2744:4913$
• B. $17:14$
• C. $14:17$
• D. $23:29$

Answer 1

The correct option is B $17:14$

The subtriplicate ratio of $a:b$ is $\sqrt[3]{3a}:\sqrt[3]{3b}$
$\therefore$ The subtriplicate ratio of $4913:2744$ is $\sqrt[3]{34913}:\sqrt[3]{32744}=17:14$