Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{196}$
$(ii)$ $3 \sqrt{18}$
Find three different irrational numbers between the rational numbers $\frac{1}{3}$ and $\frac{7}{9}$.
Show that $0.1 \overline{6}=\frac{1}{6}$
The product $\sqrt[3]{2} \cdot \sqrt[4]{2} \cdot \sqrt[12]{32}$ equals
Simplify:
${{(625)^{-\frac{1}{2}}}^{-\frac{1}{4}}}^{2}$