[tex]\begin{gathered} \sqrt[]{\frac{4}{9}}=\frac{\sqrt[]{4}}{\sqrt[\square]{9}}=\frac{2}{3}\text{ with is a fraction (its rational)} \\ \sqrt[]{20}=\sqrt[]{4\cdot5}=\sqrt[]{4}\sqrt[]{5}=2\sqrt[]{5}\text{ which is irrational} \\ \sqrt[]{121}=\sqrt[]{11^2}=11\text{ which is an integer} \end{gathered}[/tex]
