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7. 计算:$\sqrt{9} - \sqrt[3]{-8} + \sqrt{(-3)^{2}} - (\sqrt{2})^{2}$.
答案
原式 = 3 - (-2) + 3 - 2 = 3 + 2 + 3 - 2 = 6.
1. $\sqrt{5} - 2$的相反数是______,绝对值是______.
答案
2 - $\sqrt{5}$ $\sqrt{5}$ - 2
2. 计算:$\sqrt[3]{-125} + \sqrt{4} = $______.
答案
-3
3. 若$\sqrt{x} + \sqrt{-x}$有意义,则$\sqrt{x + 1} = $______.
答案
1
4. 若$\sqrt{102.01} = 10.1$,则$\pm \sqrt{1.0201} = $______.
答案
±1.01
5. 正方体A的体积是正方体B的体积的27倍,那么正方体A的棱长是正方体B的棱长的______倍.
答案
3
6. 计算:(1)$-\sqrt[3]{-0.125}$;
(2)$\sqrt{16} - (-1)^{2024} - \sqrt[3]{27} + |1 - \sqrt{2}|$.
(2)$\sqrt{16} - (-1)^{2024} - \sqrt[3]{27} + |1 - \sqrt{2}|$.
答案
(1) 0.5. (2) $\sqrt{2}$ - 1.
7. 化简:$|\sqrt{6} - \sqrt{2}| + |\sqrt{2} - 1| - |\sqrt{6} - 3|$.
答案
2$\sqrt{6}$ - 4.
