Question

The smallest rationalizing factor of $\sqrt[3]{363}$ is _______

• A. $\sqrt[3]{337}$
• B. $\sqrt[3]{362}$
• C. $\sqrt[3]{3147}$
• D. $\sqrt[3]{3243}$

Answer 1

Answer: (C)

$\sqrt[3]{3147}$

$63=3^2\times 7$

So we need $3\times 7^2$ to complete the triplet.

so, rationalizing factor will be $\sqrt[3]{3147}$.

Ans-Option $C$.