(根号3-1)/3和(根号2-1)/2比较大小 168的立方根和根号101比较大小根号3,减一,除以3与根号2,减一,除以2的大小
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![(根号3-1)/3和(根号2-1)/2比较大小 168的立方根和根号101比较大小根号3,减一,除以3与根号2,减一,除以2的大小](/uploads/image/z/441818-26-8.jpg?t=%28%E6%A0%B9%E5%8F%B73-1%29%2F3%E5%92%8C%EF%BC%88%E6%A0%B9%E5%8F%B72-1%EF%BC%89%2F2%E6%AF%94%E8%BE%83%E5%A4%A7%E5%B0%8F+168%E7%9A%84%E7%AB%8B%E6%96%B9%E6%A0%B9%E5%92%8C%E6%A0%B9%E5%8F%B7101%E6%AF%94%E8%BE%83%E5%A4%A7%E5%B0%8F%E6%A0%B9%E5%8F%B73%EF%BC%8C%E5%87%8F%E4%B8%80%EF%BC%8C%E9%99%A4%E4%BB%A53%E4%B8%8E%E6%A0%B9%E5%8F%B72%EF%BC%8C%E5%87%8F%E4%B8%80%EF%BC%8C%E9%99%A4%E4%BB%A52%E7%9A%84%E5%A4%A7%E5%B0%8F)
(根号3-1)/3和(根号2-1)/2比较大小 168的立方根和根号101比较大小根号3,减一,除以3与根号2,减一,除以2的大小
(根号3-1)/3和(根号2-1)/2比较大小 168的立方根和根号101比较大小
根号3,减一,除以3与根号2,减一,除以2的大小
(根号3-1)/3和(根号2-1)/2比较大小 168的立方根和根号101比较大小根号3,减一,除以3与根号2,减一,除以2的大小
数学之美团为你解答
(√3 - 1)/3 - (√2 - 1)/2
= (2√3 - 3√2 +1)/6
(1+2√3)² - (3√2)²
= 13+4√3 - 18
= 4√3 - 5
> 0 【∵(4√3)² > 5² 】
∴ 1+2√3 - 3√2 > 0
即 (√3 - 1)/3 > (√2 - 1)/2
³√168 < ³√216 = 6
√101 > √100 = 10
∴ ³√168 < √101
(根号3-1)/3和(根号2-1)/2比较大小
(√3-1)/3=0.24401693585629243117581544716862......
(√2-1)/2=0.20710678118654752440084436210485......
(√3-1)/3>(√2-1)/2
168的立方根和根号101比较大小
³√168=5.517848...
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(根号3-1)/3和(根号2-1)/2比较大小
(√3-1)/3=0.24401693585629243117581544716862......
(√2-1)/2=0.20710678118654752440084436210485......
(√3-1)/3>(√2-1)/2
168的立方根和根号101比较大小
³√168=5.517848352762241338931582216717......
√101=10.04987562112089027021926491276......
³√168<√101
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