Question

1. WHAT IS THE SIMPLEST RATIONALIZING FACTOR OF ³√72 ?

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{number}\mathrm{is}\sqrt[3]{72}. \\ \mathrm{Now},\sqrt[3]{72}=\sqrt[3]{2\times 2\times 2\times 3\times 3}=2\sqrt[3]{9} \\ \mathrm{Now},\mathrm{simplest}\mathrm{rationalising}\mathrm{factor}\mathrm{is}\sqrt[3]{3}. \\ \mathrm{As},\sqrt[3]{72}\times \sqrt[3]{3}=\sqrt[3]{216}=6\left(\mathrm{a}\mathrm{rational}\mathrm{number}\right) \end{gathered}$$