Number. Cube. Square Root. Cube Root. Number. Square. 1081 1168561 1263214441 32-8785644 | 10.2630213 1081 10.2661850 1082 | 10.2693467 1083 | 10.2725065 1084 | | 1082 1170724 1266723368 32.8937684 | | | 1083 1172889 1270238787 32.9089653 | 1084 1175056 | 1273760704 32.9241553 1085 1177225 1277289125| 32.9393382 | 10-2756644 1085 | 10861179396 1280824056 32.9545141 1181569 1284365503 32.9696830 | | | | 1087 | 1088 11837441287913472 32.9848450 1089 1185921 1291467969 33.0000000 1090 1188100 | 1295029000 33-0151480 10-2788203 1086 10-2819743 1087 | 10.2851264 1088 | 10-2882765 1089 10.2914247 | 1090 | 10-2945709 1091 | 1091 1190281 1298596571 | 33.0302891 | 1092 1192464 | 1302170688 33-0454233 | 10-2977153 1092 1093 1194649 | 1305751357 33-0605505 1094 1196836 | 1309338584 33.0756708 1095 11990251312932375 33-0907842 | 10-3008577 1093 | 10-3039982 | 1094 10-3071368 1095 | 1096 12012161316532736 33.1058907 1101 1212201 1334633301 33-1813200 10-3259284 | 1101 1102 12144041338273208 33-1963853 | 10-3290537 | 1102 1103 1216609 1341919727 33-2114438 10-3321770 1103 1104 1218816 1345572864 33-2264955 | 10-3352985 1104 11051221025 1349232625 33.2415403 | 10-3384181 1105 10-3102735 1096 | 10-3134083 | 1097 10-3165411 | 1098 10-3196721 1099 | 10-3228012 | 1100 1106 1223236 1352899016 | 33.2565783 1107 1225449 1356572043 33.2716095 1108 1227664 1360251712 33.2866339 1109 1229881 1363938029 | 33-3016516 10.3508778 | 1109 1110 1232100 1367631000 33-3166625 | 10.3539890 | 1110 | | 10-3415358 1106 10.3446517 1107 10.3477657 1108 | 1111 1234321 1371330631 | 33.3316666 10-3570964 1111 11121236544 1375036928 | 33-3466640 10-3602029 1112 | 1113 1238769 1378749897 | 33-3616546 10-3633076 1113 1114 1240996 1382469544 | 33.3766385 10-3664103 1114 1115 1243225 | 1386195875| 33-3916157 | 10-3695113 1115 1116 1245456| 1389928896 33-4065862 10-3726103 1116 1117 1247689 1393668613 33-4215499 10-3757076 1117 | | || 1118 1249924 1397415032 33.4365070 10-3788030 1118 1119 1252161 1401168159 33.4514573 | 10-3818965 1119 11201254400 1404928000 33-4664011| 10-3849882 | 1120 | | Number. Square. Square Root. Cube Root. Number. 33-4813381 10-3880781 | 11211256641 1408694561 1121 1122 1258884 1412467848 33-4962684 10-3911661 1122 1123 1261129 1416247867 33.5111921 10.3942523 1123 1124 1263376 1420034624 33.5261092 10-3973366 1124 | | | | 1125 1265625 1423828125 33.5410196 10.4004192 1125 | | | 1126 1267876 1427628376 33-5559234 10-4034999 1126 | | | 1127 1270129 1431435383 | 33.5708206 10-4065787 1127 | 1128 1272384 | 1435249152 33.5857112 10-4096557 1128 1129 1274641 1439069689 33.6005952 1130 1276900 1442897000 33-6154626 10-4127310 1129 10-4158044 1130 | | | 1131 12791611446731091 | 33.6303434 10-4188760 1131 11321281424 | 1450571968 | 33-6452077 10-4219458 1132 1133 1283689 1454419637 33.6600653 | 10-4250138 1133 1134 1285956 1458274104 33-6749165 10-4280800 1134 | | 1135 1288225 1462135375 33.6897610 10.4311448 1135 | 1136 1290496 1466003456 33-7045991 10-4342069 1136 | 11371292769 1469878353 33-7194306 10-4372677 1137 11381295044 | 1478760072 | 33·7342556 10.4403267 1138 11391297321 1477648619 33-7490741 10-4433839 1139 1140 1299600 1481544000 33-7638860 10-4464393 1140 | | | 1141 1301881 | 1485446221 | 33-7786915 10-4494929| 1141 1142 1304164 1489355288 33-7934905 10-4525448 1142 | | | | 1143 1306449 | 1493271207 33-8082830 10-4555948 1143 1144 1308736 1497193984 33-8230691 1145 1311025 1501123625 33-8378486 | | | 10-4586431 1144 | 10-4616896 1145 1146 1313316 1505060136 33-8526218 10-4647343 | 1146 11471315609 | 1509003523 33.8673884 10.4677773 1147 1148 1317904 | 1512953792 | 33-8821487 | 10-4708185 1148 1149 1320201 1516910949 33-8969025 10.4738579 1149 1150 1322500 1520875000 33.9116499 10.4768955 | 1150 | | | Cube. | | 1151 1324801 | 1524845951 33.9263909 10-4799314 1151 11521327104 1528823808 33-9411255 10-4829656 1152 | | 1153 1329409 1532808577 33.9558537 33·9558537 | 10-4859980 | 1153 1154 | 1331716 1536800264 33.9705755 10-4890286 1154 1155 1334025 1540798875 33.9852910 10-4920575 | 1155 | 11561336336 1544804416 34.0000000 10-4950847 1156 1157 1338649 1548816893 34.0147027 1157 10-4981101 1158 1158 1340964 1552836312 34-0293990 1159 1343281 1556862679 34-0440890 11601345600 156089600034-0587727 10-5041556 1159 10-5071757 | 1160 Number. Square. Square Root. | | 1161 1347921 | 1564936281 34-0734501 10.5101942 1161 1162 1350244 1568983528 34.0881211 10.5132109 1162 | | 1163 1352569 1573037747 34.1027858 10.5162259 1163 1164 1354896 1577098944 34.1174442 10-5192391 | 1164 1165 1357225 1581167125 34-1320963 10-5222506 1165 10.5252604 1166 10-5282685 | 1167 1166 1359556 1585242296 34.1467422 1167 13618891589324463 34-1613817 1168 1364224 1593413632 34.1760150 10.5312749 1168 1169 1366561 1597509809 34.1906420 | 10.5342795 1169 1170 1368900 1601613000 34-2052627 | 10.5372825 | 1170 1171 1371241 1605723211 34-2198773 10.5402837 | 1171 1172 1373584 | 1609840448 34-2344855 10-5432832 | 1172 | | 1173 1375929 | 1613964717 | 34·2490875 | 10·5462810 1173 1174 1378276 1618096024 | 34-2636834 1175 1380625 | 1622234375 34.2782730 10.5492771 1174 1176 1382976 1626379776 34.2928564 Cube. Cube Root. Number. | 10.5552642 1176 10-5582552 | 1177 10.5612445 | 1178 10.5642322 1179 10.5672181 1180 | 1181 1394761 1647212741 34-3656805 10.5702024 1181 | 1182 1397124 1651400568 34-3802268 10-5731849 1182 1183 1399489 | 1655595487 | 34-3947670 | 10-5761658 | 1183 1184 1401856 1659797504 34-4093011 10.5791449 1184 1185 1404225 | 1664006625 | 34·4238289 10.5821225 | 1185 1186 1406596 1668222856 34.4383507 10.5850983 1186 1187 1408969 1672446203 34.4528663 | 10.5880725 | 1187 1188 1411344 1676676672 34-4673759 10.5910450 1188 1189 1413721 1680914269 34-4818793 10-5940158 1189 1190 14161001685159000 34.4963766 | 10.5999850 1190 | | 1418481 1689410871 1191 34-5108678 10.5999525 1191 | | 1193 1423249 1697936057 | 34.5398321 | 10.6058826 1193 1194 1425636 1702209384 34.5543051 10-6088451 1194 | | | 1195 1428025 1706489875 34.5687720 10-6118060 | 1195 | 1196 1430416 | 1710777536 34-5832329 | 10.6147952 | 1196 1197 1432809 1715072373 | 34.5976879 | 10-6177228 1197 1198 1435204 | 1717374392 34.6121366 10.6206788 1198 1199 1437601 1723683599 34-6265794 10-6236331 1199 1200 1440000 | 1728000000 34.6410162 | 10-6265857 1200 To find the square of a greater number than is contained in the table. RULE 1.-If the number required to be squared exceed, by 2, 3, 4, or any other number of times, any number contained in the table, let the square affixed to the number in the table be multiplied by the square of 2, 3, or 4, &c., and the product will be the answer sought. EXAMPLE.-Required the square of 2595. 2595 is three times greater than 865; and the square of 865, as per table, is 748225. Then, 748225 x 32 6734025, Ans. RULE 2.—If the number required to be squared be an odd number, and do not exceed twice the amount of any number contained in the table, find the two numbers nearest to each other, which, added together, make that sum; then, the sum of the squares of these two numbers, as per table, multiplied by 2, will exceed the square required by 1. EXAMPLE.-Required the square of 1865. The two nearest numbers (932 +933) = 1865. Then, per table (9322=868624)+(9332=870489) = 1739113 × 2 = 3478226 — 1 = 3478225, Ans. To find the cube of a greater number than is contained in the table. RULE.-Proceed, as in squares, to find how many times the number required to be cubed exceeds the number contained in the table. Multiply the cube of that number by the cube of as many times as the number sought exceeds the number in the table, and the product will be the answer required. EXAMPLE.-Required the cube of 3984. 3984 is 4 times greater than 996; and the cube of 996, as per table, is 988047936. Then 988047936 × 43 63235067904, Ans. To find the square or cube root of a higher number than is in the table. RULE.-Refer to the table, and seek in the column of squares or cubes, the number nearest to that number whose root is sought, and the number from which that square or cube is derived will be the answer required, when decimals are not of importance. EXAMPLE.-Required the square root of 542869. In the table of squares, the nearest number is 543169; and the number from which that square has been obtained is 737. Therefore,✔542869 737 nearly, Ans. To find more nearly the cube root of a higher number than is in the table. RULE.-Ascertain, by the table, the nearest cube number to the number given, and call it the assumed cube. Multiply the assumed cube and the given number, |
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