Question

根号一根号二.3.4.5以此类推都是约等于多少

求根号一到根号100约等于大小

Answer 1

√1 = 1
√2 = 1.41421
√3 = 1.73205
√4 = 2
√5 = 2.23607
√6 = 2.44949
√7 = 2.64575
√8 = 2.82843
√9 = 3
√10 = 3.16228
√11 = 3.31662
√12 = 3.4641
√13 = 3.60555
√14 = 3.74166
√15 = 3.87298
√16 = 4
√17 = 4.12311
√18 = 4.24264
√19 = 4.3589
√20 = 4.47214
√21 = 4.58258
√22 = 4.69042
√23 = 4.79583
√24 = 4.89898
√25 = 5
√26 = 5.09902
√27 = 5.19615
√28 = 5.2915
√29 = 5.38516
√30 = 5.47723
√31 = 5.56776
√32 = 5.65685
√33 = 5.74456
√34 = 5.83095
√35 = 5.91608
√36 = 6
√37 = 6.08276
√38 = 6.16441
√39 = 6.245
√40 = 6.32456
√41 = 6.40312
√42 = 6.48074
√43 = 6.55744
√44 = 6.63325
√45 = 6.7082
√46 = 6.78233
√47 = 6.85565
√48 = 6.9282
√49 = 7
√50 = 7.07107
√51 = 7.14143
√52 = 7.2111
√53 = 7.28011
√54 = 7.34847
√55 = 7.4162
√56 = 7.48331
√57 = 7.54983
√58 = 7.61577
√59 = 7.68115
√60 = 7.74597
√61 = 7.81025
√62 = 7.87401
√63 = 7.93725
√64 = 8
√65 = 8.06226
√66 = 8.12404
√67 = 8.18535
√68 = 8.24621
√69 = 8.30662
√70 = 8.3666
√71 = 8.42615
√72 = 8.48528
√73 = 8.544
√74 = 8.60233
√75 = 8.66025
√76 = 8.7178
√77 = 8.77496
√78 = 8.83176
√79 = 8.88819
√80 = 8.94427
√81 = 9

Answer 2

首先考虑近似数2*2=4 2.1*2.1=4.41 2.2*2.2=4.84 2.3*2.3=5.29 可见根号5在2.2到2.3之间用计算器算，还可以算到百分位 千分位但是根号5是无限不循环小数

Answer 3

1
1.414
1.732
2

Answer 4

√（1+x）=1+1/2x-1/8x^2 （x接近0越精确）
所以尽量找到这个x
如√48=√（49-1）=7√（1-1/49）≈7*（1+1/2*（-1/49））≈6.9285
计算器√48=6.9282……

Answer 5

即3^1/2*3^1/4*3^1/8*3^1/16……＝3^(1/2+1/4+1/8+1/16+……1/2^n)
设y＝1/2+1/4+1/8+1/16+……1/2^n
…………………………（1）
则2y=1+1/2+1/4+1/8+1/16+……1/2^(n-1)……………………（2）
（2）式－（1）式得：y=1+1/2^n
所以等于3^（1+1/2^n）