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| x | expr(x) | Computed root | Square of result | expr(sqrt x) | expr((sqrt x)*(sqrt x)) | expr(expr(sqrt x)*expr(sqrt x)) |
|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 2 | 1.4142135623731 | 2 | 1.4142135623731 | 2 | 2 |
| 3 | 3 | 1.7320508075689 | 3.0000000000001 | 1.7320508075689 | 3 | 3.0000000000001 |
| 4 | 4 | 2 | 4 | 2 | 4 | 4 |
| 5 | 5 | 2.2360679774998 | 5 | 2.2360679774998 | 5 | 5 |
| 6 | 6 | 2.4494897427832 | 6.0000000000001 | 2.4494897427832 | 6 | 6.0000000000001 |
| 7 | 7 | 2.6457513110646 | 7 | 2.6457513110646 | 7 | 7 |
| 8 | 8 | 2.8284271247462 | 8.0000000000001 | 2.8284271247462 | 8 | 8.0000000000001 |
| 9 | 9 | 3 | 9 | 3 | 9 | 9 |
| 10 | 10 | 3.1622776601684 | 10 | 3.1622776601684 | 10 | 10 |
| 11 | 11 | 3.3166247903554 | 11 | 3.3166247903554 | 11 | 11 |
| 12 | 12 | 3.4641016151378 | 12 | 3.4641016151378 | 12 | 12 |
| 13 | 13 | 3.605551275464 | 13 | 3.605551275464 | 13 | 13 |
| 14 | 14 | 3.7416573867739 | 14 | 3.7416573867739 | 14 | 14 |
| 15 | 15 | 3.8729833462074 | 15 | 3.8729833462074 | 15 | 15 |
| 16 | 16 | 4 | 16 | 4 | 16 | 16 |
| 17 | 17 | 4.1231056256177 | 17 | 4.1231056256177 | 17 | 17 |
| 18 | 18 | 4.2426406871193 | 18 | 4.2426406871193 | 18 | 18 |
| 19 | 19 | 4.3588989435407 | 19 | 4.3588989435407 | 19 | 19 |
| 20 | 20 | 4.4721359549996 | 20 | 4.4721359549996 | 20 | 20 |
| 21 | 21 | 4.5825756949558 | 21 | 4.5825756949558 | 21 | 21 |
| 22 | 22 | 4.6904157598234 | 22 | 4.6904157598234 | 22 | 22 |
| 23 | 23 | 4.7958315233127 | 23 | 4.7958315233127 | 23 | 23 |
| 24 | 24 | 4.8989794855664 | 24 | 4.8989794855664 | 24 | 24 |
| 25 | 25 | 5 | 25 | 5 | 25 | 25 |
| 26 | 26 | 5.0990195135928 | 26 | 5.0990195135928 | 26 | 26 |
| 27 | 27 | 5.1961524227066 | 27 | 5.1961524227066 | 27 | 27 |
| 28 | 28 | 5.2915026221292 | 28 | 5.2915026221292 | 28 | 28 |
| 29 | 29 | 5.3851648071345 | 29 | 5.3851648071345 | 29 | 29 |
| 30 | 30 | 5.4772255750517 | 30 | 5.4772255750517 | 30 | 30 |
| 31 | 31 | 5.56776436283 | 31 | 5.56776436283 | 31 | 31 |
| 32 | 32 | 5.6568542494924 | 32 | 5.6568542494924 | 32 | 32 |
| 33 | 33 | 5.744562646538 | 33 | 5.744562646538 | 33 | 33 |
| 34 | 34 | 5.8309518948453 | 34 | 5.8309518948453 | 34 | 34 |
| 35 | 35 | 5.9160797830996 | 35 | 5.9160797830996 | 35 | 35 |
| 36 | 36 | 6 | 36 | 6 | 36 | 36 |
| 37 | 37 | 6.0827625302982 | 37 | 6.0827625302982 | 37 | 37 |
| 38 | 38 | 6.164414002969 | 38 | 6.164414002969 | 38 | 38 |
| 39 | 39 | 6.2449979983984 | 39 | 6.2449979983984 | 39 | 39 |
| 40 | 40 | 6.3245553203368 | 40.000000000001 | 6.3245553203368 | 40 | 40.000000000001 |
| 41 | 41 | 6.4031242374328 | 40.999999999999 | 6.4031242374328 | 41 | 40.999999999999 |
| 42 | 42 | 6.4807406984079 | 42.000000000001 | 6.4807406984079 | 42 | 42.000000000001 |
| 43 | 43 | 6.557438524302 | 43 | 6.557438524302 | 43 | 43 |
| 44 | 44 | 6.6332495807108 | 44 | 6.6332495807108 | 44 | 44 |
| 45 | 45 | 6.7082039324994 | 45 | 6.7082039324994 | 45 | 45 |
| 46 | 46 | 6.7823299831253 | 46 | 6.7823299831253 | 46 | 46 |
| 47 | 47 | 6.855654600401 | 46.999999999999 | 6.855654600401 | 47 | 46.999999999999 |
| 48 | 48 | 6.9282032302755 | 48 | 6.9282032302755 | 48 | 48 |
| 49 | 49 | 7 | 49 | 7 | 49 | 49 |
| 50 | 50 | 7.0710678118655 | 50 | 7.0710678118655 | 50 | 50 |
| 51 | 51 | 7.1414284285429 | 51.000000000001 | 7.1414284285429 | 51 | 51.000000000001 |
| 52 | 52 | 7.211102550928 | 52 | 7.211102550928 | 52 | 52 |
| 53 | 53 | 7.2801098892805 | 53 | 7.2801098892805 | 53 | 53 |
| 54 | 54 | 7.3484692283495 | 53.999999999999 | 7.3484692283495 | 54 | 53.999999999999 |
| 55 | 55 | 7.4161984870957 | 55.000000000001 | 7.4161984870957 | 55 | 55.000000000001 |
| 56 | 56 | 7.4833147735479 | 56 | 7.4833147735479 | 56 | 56 |
| 57 | 57 | 7.5498344352707 | 56.999999999999 | 7.5498344352707 | 57 | 56.999999999999 |
| 58 | 58 | 7.6157731058639 | 58 | 7.6157731058639 | 58 | 58 |
| 59 | 59 | 7.6811457478686 | 59 | 7.6811457478686 | 59 | 59 |
| 60 | 60 | 7.7459666924148 | 59.999999999999 | 7.7459666924148 | 60 | 59.999999999999 |
| 61 | 61 | 7.8102496759067 | 61.000000000001 | 7.8102496759067 | 61 | 61.000000000001 |
| 62 | 62 | 7.8740078740118 | 62 | 7.8740078740118 | 62 | 62 |
| 63 | 63 | 7.9372539331938 | 63 | 7.9372539331938 | 63 | 63 |
| 64 | 64 | 8 | 64 | 8 | 64 | 64 |
| 65 | 65 | 8.0622577482985 | 64.999999999999 | 8.0622577482985 | 65 | 64.999999999999 |
| 66 | 66 | 8.124038404636 | 66.000000000001 | 8.124038404636 | 66 | 66.000000000001 |
| 67 | 67 | 8.1853527718725 | 67.000000000001 | 8.1853527718725 | 67 | 67.000000000001 |
| 68 | 68 | 8.2462112512353 | 68 | 8.2462112512353 | 68 | 68 |
| 69 | 69 | 8.3066238629181 | 69 | 8.3066238629181 | 69 | 69 |
| 70 | 70 | 8.3666002653408 | 70.000000000001 | 8.3666002653408 | 70 | 70.000000000001 |
| 71 | 71 | 8.4261497731764 | 71.000000000001 | 8.4261497731764 | 71 | 71.000000000001 |
| 72 | 72 | 8.4852813742386 | 72 | 8.4852813742386 | 72 | 72 |
| 73 | 73 | 8.5440037453175 | 72.999999999999 | 8.5440037453175 | 73 | 72.999999999999 |
| 74 | 74 | 8.6023252670426 | 74 | 8.6023252670426 | 74 | 74 |
| 75 | 75 | 8.6602540378444 | 75 | 8.6602540378444 | 75 | 75 |
| 76 | 76 | 8.7177978870813 | 75.999999999999 | 8.7177978870813 | 76 | 75.999999999999 |
| 77 | 77 | 8.7749643873921 | 77 | 8.7749643873921 | 77 | 77 |
| 78 | 78 | 8.8317608663278 | 77.999999999999 | 8.8317608663278 | 78 | 77.999999999999 |
| 79 | 79 | 8.8881944173156 | 79 | 8.8881944173156 | 79 | 79 |
| 80 | 80 | 8.9442719099992 | 80.000000000001 | 8.9442719099992 | 80 | 80.000000000001 |
| 81 | 81 | 9 | 81 | 9 | 81 | 81 |
| 82 | 82 | 9.0553851381374 | 82 | 9.0553851381374 | 82 | 82 |
| 83 | 83 | 9.1104335791443 | 83 | 9.1104335791443 | 83 | 83 |
| 84 | 84 | 9.1651513899117 | 84 | 9.1651513899117 | 84 | 84 |
| 85 | 85 | 9.2195444572929 | 85 | 9.2195444572929 | 85 | 85 |
| 86 | 86 | 9.2736184954957 | 86 | 9.2736184954957 | 86 | 86 |
| 87 | 87 | 9.3273790530888 | 87 | 9.3273790530888 | 87 | 87 |
| 88 | 88 | 9.3808315196469 | 88.000000000001 | 9.3808315196469 | 88 | 88.000000000001 |
| 89 | 89 | 9.4339811320566 | 89 | 9.4339811320566 | 89 | 89 |
| 90 | 90 | 9.4868329805051 | 89.999999999999 | 9.4868329805051 | 90 | 89.999999999999 |
| 91 | 91 | 9.5393920141695 | 91.000000000001 | 9.5393920141695 | 91 | 91.000000000001 |
| 92 | 92 | 9.5916630466254 | 91.999999999999 | 9.5916630466254 | 92 | 91.999999999999 |
| 93 | 93 | 9.643650760993 | 93.000000000001 | 9.643650760993 | 93 | 93.000000000001 |
| 94 | 94 | 9.6953597148327 | 94.000000000001 | 9.6953597148327 | 94 | 94.000000000001 |
| 95 | 95 | 9.746794344809 | 95.000000000001 | 9.746794344809 | 95 | 95.000000000001 |
| 96 | 96 | 9.7979589711327 | 96 | 9.7979589711327 | 96 | 96 |
| 97 | 97 | 9.8488578017961 | 97 | 9.8488578017961 | 97 | 97 |
| 98 | 98 | 9.8994949366117 | 98.000000000001 | 9.8994949366117 | 98 | 98.000000000001 |
| 99 | 99 | 9.9498743710662 | 99 | 9.9498743710662 | 99 | 99 |
| 100 | 100 | 10 | 100 | 10 | 100 | 100 |
| 1000 | 1000 | 31.622776601684 | 1000 | 31.622776601684 | 1000 | 1000 |
| 10000 | 10000 | 100 | 10000 | 100 | 10000 | 10000 |
| 100000 | 100000 | 316.22776601684 | 100000 | 316.22776601684 | 100000 | 100000 |
| 1000000 | 1000000 | 1000 | 1000000 | 1000 | 1000000 | 1000000 |
| 10000000 | 10000000 | 3162.2776601684 | 10000000 | 3162.2776601684 | 10000000 | 10000000 |
| 100000000 | 100000000 | 10000 | 100000000 | 10000 | 100000000 | 100000000 |
| 1000000000 | 1000000000 | 31622.776601684 | 1000000000 | 31622.776601684 | 1000000000 | 1000000000 |
| 10000000000 | 10000000000 | 100000 | 10000000000 | 100000 | 10000000000 | 10000000000 |
| 100000000000 | 100000000000 | 316227.76601684 | 100000000000 | 316227.76601684 | 100000000000 | 100000000000 |
| 1000000000000 | 1000000000000 | 1000000 | 1000000000000 | 1000000 | 1000000000000 | 1000000000000 |
| 10000000000000 | 10000000000000 | 3162277.6601684 | 10000000000000 | 3162277.6601684 | 10000000000000 | 10000000000000 |
| 100000000000000 | 1.0E+14 | 10000000 | 1.0E+14 | 10000000 | 1.0E+14 | 1.0E+14 |
| 1000000000000000 | 1.0E+15 | 31622776.601684 | 1.0E+15 | 31622776.601684 | 1.0E+15 | 1.0E+15 |
| 10000000000000000 | 1.0E+16 | 100000000 | 1.0E+16 | 100000000 | 1.0E+16 | 1.0E+16 |
| 100000000000000000 | 1.0E+17 | 316227766.01684 | 1.0E+17 | 316227766.01684 | 1.0E+17 | 1.0E+17 |
| 1000000000000000000 | 1.0E+18 | 1000000000 | 1.0E+18 | 1000000000 | 1.0E+18 | 1.0E+18 |
| 10000000000000000000 | 1.0E+19 | 3162277660.1684 | 1.0E+19 | 3162277660.1684 | 1.0E+19 | 1.0E+19 |
| 100000000000000000000 | 1.0E+20 | 10000000000 | 1.0E+20 | 10000000000 | 1.0E+20 | 1.0E+20 |
| 1000000000000000000000 | 1.0E+21 | 31622776601.684 | 1.0E+21 | 31622776601.684 | 1.0E+21 | 1.0E+21 |
| 10000000000000000000000 | 1.0E+22 | 100000000000 | 1.0E+22 | 100000000000 | 1.0E+22 | 1.0E+22 |
| 100000000000000000000000 | 1.0E+23 | 316227766016.84 | 1.0E+23 | 316227766016.84 | 1.0E+23 | 1.0E+23 |
| 1000000000000000000000000 | 1.0E+24 | 1000000000000 | 1.0E+24 | 1000000000000 | 1.0E+24 | 1.0E+24 |