第54页

信息发布者:
解:用计算器计算得,$\sqrt{5}\approx2.236,$则$\sqrt{5}-2\approx2.236 - 2=0.236\approx0.24$
解:用计算器计算得,$\sqrt[3]{\frac{8}{25}}=\sqrt[3]{0.32}\approx0.684,$则$-\sqrt[3]{\frac{8}{25}}\approx-0.684\approx-0.68$
解:用计算器计算得,$\sqrt{7}\approx2.646,$$\sqrt[3]{7}\approx1.913,$则$-2×\sqrt{7}+2×\sqrt[3]{7}\approx-2×2.646 + 2×1.913=-5.292 + 3.826=-1.466\approx-1.47$
解:用计算器计算得,$\pi\approx3.142,$$\sqrt{5}\approx2.236,$$\sqrt{7}\approx2.646,$则$\vert\sqrt{5}-\sqrt{7}\vert=\sqrt{7}-\sqrt{5}\approx2.646 - 2.236=0.41,$所以$\frac{\pi}{2}-\vert\sqrt{5}-\sqrt{7}\vert+\frac{2}{3}\approx\frac{3.142}{2}-0.41 + 0.667\approx1.571 - 0.41 + 0.667=1.161 + 0.667=1.828\approx1.83$
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解:(2)我发现根号内被开方数是2n个数字1和n个数字2的差,结果为n个数字3.
(3)计算器验证正确。