0.1 数(NUMBERS)

1.

(a) 有理数 (b) 無理数

2.

(a) $3.0$ (b) $\pi$

3.

(a) $6$ (b) 0

4.

(a) $27$ (b) $\displaystyle{\frac{1}{3}}$

5.

(a) $\displaystyle{a^{\frac{5}{4}}}$ (b) $\displaystyle{a^{-\frac{5}{6}}}$ (c) $\displaystyle{a^{-\frac{1}{3}}}$

6.

(a) $\displaystyle{2\sqrt{2}}$ (b) $\displaystyle{7 - 2\sqrt{10}}$ (c) $\displaystyle{17 + 13\sqrt{6}}$

7.

(a) $\displaystyle{\sqrt{5} + \sqrt{3}}$ (b) $\displaystyle{\frac{\sqrt{3}(\sqrt{n+1} + \sqrt{n-2})}{3}}$ (c) $\displaystyle{\frac{3}{\sqrt{n+2} + \sqrt{n-1}}}$