Question

classify whether the following are rational or irrational number
1) √ 36/49
2) 10/3 √ 5
3) 8- √ 3
4) 5+ √ 2
5) 0
6) 2 √ 7/ 7 √ 7
7) (3+ √ 8) - √ 8

Answer 1

$$\begin{gathered} \left(1\right). \\ \sqrt{\frac{36}{49}}=\frac{6}{7}=\mathrm{a}\mathrm{rational}\mathrm{number} \\ \left(2\right). \\ \frac{10}{3\sqrt{5}}=\frac{10\sqrt{5}}{15}=\frac{2\sqrt{5}}{3}=\mathrm{an}\mathrm{irrational}\mathrm{number} \\ \left(3\right). \\ 8-\sqrt{3}=\mathrm{an}\mathrm{irrational}\mathrm{number} \\ \left(4\right). \\ 5+\sqrt{2}=\mathrm{an}\mathrm{irrational}\mathrm{number} \\ \left(5\right). \\ 0=\mathrm{a}\mathrm{rational}\mathrm{number} \\ \left(6\right). \\ \frac{2\sqrt{7}}{7\sqrt{7}}=\frac{2}{7}=\mathrm{a}\mathrm{rational}\mathrm{number} \\ \left(7\right). \\ \left(3+\sqrt{8}\right)-\sqrt{8}=3+\sqrt{8}-\sqrt{8}=3=\mathrm{a}\mathrm{rational}\mathrm{number} \end{gathered}$$