Question

The triplicate ratio of $\sqrt[3]{3b^2}:\sqrt[3]{3a^2}$ is _____

• A. $b^2:a^2$
• B. $a:b$
• C. $b^3:a^3$
• D. $a^2:b^2$

Answer 1

The correct option is A $b^2:a^2$

The triplicate ratio of $a:b$ is $a^3:b^3$
$\therefore$ The triplicate ratio of $\sqrt[3]{3b^2}:\sqrt[3]{3a^2}$ is $(\sqrt[3]{3b^2}{)}^3:(\sqrt[3]{3a^2}{)}^3=b^2:a^2$.