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\(\textbf{1)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{1}{\sqrt{9}} \)
It is rational.
\(\textbf{2)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{1}{\sqrt{7}} \)
It is irrational.
\(\textbf{3)}\) \(\text{Is it rational or irrational? } \displaystyle 2\pi \)
It is irrational.
\(\textbf{4)}\) \(\text{Is it rational or irrational? } -2 \frac{2}{3} \)
It is rational.
\(\textbf{5)}\) \(\text{Is it rational or irrational? } 0.897 \)
It is rational.
\(\textbf{6)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{22}{7} \)
It is rational.
\(\textbf{7)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{42}{5} \)
It is rational.
\(\textbf{8)}\) \(\text{Is it rational or irrational? } \displaystyle 16.\overline{8} \)
It is rational.
\(\textbf{9)}\) \(\text{Is it rational or irrational? } \displaystyle\sqrt{\pi} \)
It is irrational.
\(\textbf{10)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{\pi}{4} \)
It is irrational.
\(\textbf{11)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{7}{\sqrt{49}} \)
It is rational.
\(\textbf{12)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{1}{\sqrt{5}} \)
It is irrational.
\(\textbf{13)}\) \(\text{Is it rational or irrational? } 4\sqrt{7} \)
It is irrational.
\(\textbf{14)}\) \(\text{Is it rational or irrational? } \displaystyle-\frac{5}{10} \)
It is rational.
\(\textbf{15)}\) \(\text{Is it rational or irrational? } \displaystyle\sqrt{16} \)
It is rational.
\(\textbf{16)}\) \(\text{Is it rational or irrational? } \displaystyle0.777\overline{7} \)
It is rational.
\(\textbf{17)}\) \(\text{Is it rational or irrational? } \displaystyle\sqrt{8} \)
It is irrational.
\(\textbf{18)}\) \(\text{Is it rational or irrational? } \displaystyle-\frac{3}{6} \)
It is rational.
\(\textbf{19)}\) \(\text{Is it rational or irrational? } \displaystyle\sqrt{3}\cdot\sqrt{6} \)
It is irrational.
\(\textbf{20)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{11}{7} \)
It is rational.
\(\textbf{21)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{5}{\sqrt{16}} \)
It is rational.
\(\textbf{22)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{1}{\sqrt{2}} \)
It is irrational.
\(\textbf{23)}\) \(\text{Is it rational or irrational? } 3\sqrt{5} \)
It is irrational.
\(\textbf{24)}\) \(\text{Is it rational or irrational? } \displaystyle-\frac{3}{4} \)
It is rational.
\(\textbf{25)}\) \(\text{Is it rational or irrational? } \displaystyle\sqrt{9} \)
It is rational.
\(\textbf{26)}\) \(\text{Is it rational or irrational? } \displaystyle0.333\overline{3} \)
It is rational.
\(\textbf{27)}\) \(\text{Is it rational or irrational? } \displaystyle2\sqrt{3} \)
It is irrational.
\(\textbf{28)}\) \(\text{Is it rational or irrational? } \displaystyle-\frac{7}{9} \)
It is rational.
\(\textbf{29)}\) \(\text{Is it rational or irrational? } \displaystyle\sqrt{2}\cdot\sqrt{3} \)
It is irrational.
\(\textbf{30)}\) \(\text{Is it rational or irrational? } \displaystyle\frac{22}{14} \)
It is rational.