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Appendix B Powers and Roots Tables
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Aa
Appendix
B
Powers and Roots Tables
n
n
n
2
n
2
n
n
n
3
n
3
n
3
n
3
1
1
1
1
1
1
1
1
1
1
2
2
4
4
1.414214
1.414214
8
8
1.259921
1.259921
3
3
9
9
1.732051
1.732051
27
27
1.442250
1.442250
4
4
16
16
2
2
64
64
1.587401
1.587401
5
5
25
25
2.236068
2.236068
125
125
1.709976
1.709976
6
6
36
36
2.449490
2.449490
216
216
1.817121
1.817121
7
7
49
49
2.645751
2.645751
343
343
1.912931
1.912931
8
8
64
64
2.828427
2.828427
512
512
2
2
9
9
81
81
3
3
729
729
2.080084
2.080084
10
10
100
100
3.162278
3.162278
1,000
1,000
2.154435
2.154435
11
11
121
121
3.316625
3.316625
1,331
1,331
2.223980
2.223980
12
12
144
144
3.464102
3.464102
1,728
1,728
2.289428
2.289428
13
13
169
169
3.605551
3.605551
2,197
2,197
2.351335
2.351335
14
14
196
196
3.741657
3.741657
2,744
2,744
2.410142
2.410142
15
15
225
225
3.872983
3.872983
3,375
3,375
2.466212
2.466212
16
16
256
256
4
4
4,096
4,096
2.519842
2.519842
17
17
289
289
4.123106
4.123106
4,913
4,913
2.571282
2.571282
18
18
324
324
4.242641
4.242641
5,832
5,832
2.620741
2.620741
19
19
361
361
4.358899
4.358899
6,859
6,859
2.668402
2.668402
20
20
400
400
4.472136
4.472136
8,000
8,000
2.714418
2.714418
21
21
441
441
4.582576
4.582576
9,261
9,261
2.758924
2.758924
22
22
484
484
4.690416
4.690416
10,648
10,648
2.802039
2.802039
23
23
529
529
4.795832
4.795832
12,167
12,167
2.843867
2.843867
24
24
576
576
4.898979
4.898979
13,824
13,824
2.884499
2.884499
25
25
625
625
5
5
15,625
15,625
2.924018
2.924018
26
26
676
676
5.099020
5.099020
17,576
17,576
2.962496
2.962496
27
27
729
729
5.196152
5.196152
19,683
19,683
3
3
28
28
784
784
5.291503
5.291503
21,952
21,952
3.036589
3.036589
29
29
841
841
5.385165
5.385165
24,389
24,389
3.072317
3.072317
30
30
900
900
5.477226
5.477226
27,000
27,000
3.107233
3.107233
31
31
961
961
5.567764
5.567764
29,791
29,791
3.141381
3.141381
32
32
1,024
1,024
5.656854
5.656854
32,768
32,768
3.174802
3.174802
33
33
1,089
1,089
5.744563
5.744563
35,937
35,937
3.207534
3.207534
34
34
1,156
1,156
5.830952
5.830952
39,304
39,304
3.239612
3.239612
35
35
1,225
1,225
5.916080
5.916080
42,875
42,875
3.271066
3.271066
36
36
1,296
1,296
6
6
46,656
46,656
3.301927
3.301927
37
37
1,369
1,369
6.082763
6.082763
50653
50653
3.332222
3.332222
38
38
1,444
1,444
6.164414
6.164414
54,872
54,872
3.361975
3.361975
39
39
1,521
1,521
6.244998
6.244998
59,319
59,319
3.391211
3.391211
40
40
1,600
1,600
6.324555
6.324555
64,000
64,000
3.419952
3.419952
41
41
1,681
1,681
6.403124
6.403124
68,921
68,921
3.448217
3.448217
42
42
1,764
1,764
6.480741
6.480741
74,088
74,088
3.476027
3.476027
43
43
1,849
1,849
6.557439
6.557439
79,507
79,507
3.503398
3.503398
44
44
1,936
1,936
6.633250
6.633250
85,184
85,184
3.530348
3.530348
45
45
2,025
2,025
6.708204
6.708204
91,125
91,125
3.556893
3.556893
46
46
2,116
2,116
6.782330
6.782330
97,336
97,336
3.583048
3.583048
47
47
2,209
2,209
6.855655
6.855655
103,823
103,823
3.608826
3.608826
48
48
2,304
2,304
6.928203
6.928203
110,592
110,592
3.634241
3.634241
49
49
2,401
2,401
7
7
117,649
117,649
3.659306
3.659306
50
50
2,500
2,500
7.071068
7.071068
125,000
125,000
3.684031
3.684031
51
51
2,601
2,601
7.141428
7.141428
132,651
132,651
3.708430
3.708430
52
52
2,704
2,704
7.211103
7.211103
140,608
140,608
3.732511
3.732511
53
53
2,809
2,809
7.280110
7.280110
148,877
148,877
3.756286
3.756286
54
54
2,916
2,916
7.348469
7.348469
157,464
157,464
3.779763
3.779763
55
55
3,025
3,025
7.416198
7.416198
166,375
166,375
3.802952
3.802952
56
56
3,136
3,136
7.483315
7.483315
175,616
175,616
3.825862
3.825862
57
57
3,249
3,249
7.549834
7.549834
185,193
185,193
3.848501
3.848501
58
58
3,364
3,364
7.615773
7.615773
195,112
195,112
3.870877
3.870877
59
59
3,481
3,481
7.681146
7.681146
205,379
205,379
3.892996
3.892996
60
60
3,600
3,600
7.745967
7.745967
216,000
216,000
3.914868
3.914868
61
61
3,721
3,721
7.810250
7.810250
226,981
226,981
3.936497
3.936497
62
62
3,844
3,844
7.874008
7.874008
238,328
238,328
3.957892
3.957892
63
63
3,969
3,969
7.937254
7.937254
250,047
250,047
3.979057
3.979057
64
64
4,096
4,096
8
8
262,144
262,144
4
4
65
65
4,225
4,225
8.062258
8.062258
274,625
274,625
4.020726
4.020726
66
66
4,356
4,356
8.124038
8.124038
287,496
287,496
4.041240
4.041240
67
67
4,489
4,489
8.185353
8.185353
300,763
300,763
4.061548
4.061548
68
68
4,624
4,624
8.246211
8.246211
314,432
314,432
4.081655
4.081655
69
69
4,761
4,761
8.306624
8.306624
328,509
328,509
4.101566
4.101566
70
70
4,900
4,900
8.366600
8.366600
343,000
343,000
4.121285
4.121285
71
71
5,041
5,041
8.426150
8.426150
357,911
357,911
4.140818
4.140818
72
72
5,184
5,184
8.485281
8.485281
373,248
373,248
4.160168
4.160168
73
73
5,329
5,329
8.544004
8.544004
389,017
389,017
4.179339
4.179339
74
74
5,476
5,476
8.602325
8.602325
405,224
405,224
4.198336
4.198336
75
75
5,625
5,625
8.660254
8.660254
421,875
421,875
4.217163
4.217163
76
76
5,776
5,776
8.717798
8.717798
438,976
438,976
4.235824
4.235824
77
77
5,929
5,929
8.774964
8.774964
456,533
456,533
4.254321
4.254321
78
78
6,084
6,084
8.831761
8.831761
474,552
474,552
4.272659
4.272659
79
79
6,241
6,241
8.888194
8.888194
493,039
493,039
4.290840
4.290840
80
80
6,400
6,400
8.944272
8.944272
512,000
512,000
4.308869
4.308869
81
81
6,561
6,561
9
9
531,441
531,441
4.326749
4.326749
82
82
6,724
6,724
9.055385
9.055385
551,368
551,368
4.344481
4.344481
83
83
6,889
6,889
9.110434
9.110434
571,787
571,787
4.362071
4.362071
84
84
7,056
7,056
9.165151
9.165151
592,704
592,704
4.379519
4.379519
85
85
7,225
7,225
9.219544
9.219544
614,125
614,125
4.396830
4.396830
86
86
7,396
7,396
9.273618
9.273618
636,056
636,056
4.414005
4.414005
87
87
7,569
7,569
9.327379
9.327379
658,503
658,503
4.431048
4.431048
88
88
7,744
7,744
9.380832
9.380832
681,472
681,472
4.447960
4.447960
89
89
7,921
7,921
9.433981
9.433981
704,969
704,969
4.464745
4.464745
90
90
8,100
8,100
9.486833
9.486833
729,000
729,000
4.481405
4.481405
91
91
8,281
8,281
9.539392
9.539392
753,571
753,571
4.497941
4.497941
92
92
8,464
8,464
9.591663
9.591663
778,688
778,688
4.514357
4.514357
93
93
8,649
8,649
9.643651
9.643651
804,357
804,357
4.530655
4.530655
94
94
8,836
8,836
9.695360
9.695360
830,584
830,584
4.546836
4.546836
95
95
9,025
9,025
9.746794
9.746794
857,375
857,375
4.562903
4.562903
96
96
9,216
9,216
9.797959
9.797959
884,736
884,736
4.578857
4.578857
97
97
9,409
9,409
9.848858
9.848858
912,673
912,673
4.594701
4.594701
98
98
9,604
9,604
9.899495
9.899495
941,192
941,192
4.610436
4.610436
99
99
9,801
9,801
9.949874
9.949874
970,299
970,299
4.626065
4.626065
100
100
10,000
10,000
10
10
1,000,000
1,000,000
4.641589
4.641589
Table
B1
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