Question

Find the Rationalising factor of $\sqrt[3]{33}+\sqrt[3]{32}$

Answer 1

$\sqrt[3]{33}+\sqrt[3]{32}$

We know that R.F of $\sqrt[3]{3a}+\sqrt[3]{3b}=\sqrt[3]{3a^2}-\sqrt[3]{3ab}+\sqrt[3]{3b^2}$

$=\sqrt[3]{33^2}-\sqrt[3]{33\times 2}+\sqrt[3]{32^2}$

$=\sqrt[3]{39}-\sqrt[3]{36}+\sqrt[3]{34}$