Contents

Powers and Roots Tables

Appendix B Powers and Roots Tables

$n n$	$n^{2} n^{2}$	$\sqrt{n} \sqrt{n}$	$n^{3} n^{3}$	$\sqrt[3]{n} \sqrt[3]{n}$
$11$	$11$	$11$	$11$	$11$
$22$	$44$	$1.414214 1.414214$	$88$	$1.259921 1.259921$
$33$	$99$	$1.732051 1.732051$	$2727$	$1.442250 1.442250$
$44$	$1616$	$22$	$6464$	$1.587401 1.587401$
$55$	$2525$	$2.236068 2.236068$	$125125$	$1.709976 1.709976$
$66$	$3636$	$2.449490 2.449490$	$216216$	$1.817121 1.817121$
$77$	$4949$	$2.645751 2.645751$	$343343$	$1.912931 1.912931$
$88$	$6464$	$2.828427 2.828427$	$512512$	$22$
$99$	$8181$	$33$	$729729$	$2.080084 2.080084$
$1010$	$100100$	$3.162278 3.162278$	$1,000 1,000$	$2.154435 2.154435$
$1111$	$121121$	$3.316625 3.316625$	$1,331 1,331$	$2.223980 2.223980$
$1212$	$144144$	$3.464102 3.464102$	$1,728 1,728$	$2.289428 2.289428$
$1313$	$169169$	$3.605551 3.605551$	$2,197 2,197$	$2.351335 2.351335$
$1414$	$196196$	$3.741657 3.741657$	$2,744 2,744$	$2.410142 2.410142$
$1515$	$225225$	$3.872983 3.872983$	$3,375 3,375$	$2.466212 2.466212$
$1616$	$256256$	$44$	$4,096 4,096$	$2.519842 2.519842$
$1717$	$289289$	$4.123106 4.123106$	$4,913 4,913$	$2.571282 2.571282$
$1818$	$324324$	$4.242641 4.242641$	$5,832 5,832$	$2.620741 2.620741$
$1919$	$361361$	$4.358899 4.358899$	$6,859 6,859$	$2.668402 2.668402$
$2020$	$400400$	$4.472136 4.472136$	$8,000 8,000$	$2.714418 2.714418$
$2121$	$441441$	$4.582576 4.582576$	$9,261 9,261$	$2.758924 2.758924$
$2222$	$484484$	$4.690416 4.690416$	$10,648 10,648$	$2.802039 2.802039$
$2323$	$529529$	$4.795832 4.795832$	$12,167 12,167$	$2.843867 2.843867$
$2424$	$576576$	$4.898979 4.898979$	$13,824 13,824$	$2.884499 2.884499$
$2525$	$625625$	$55$	$15,625 15,625$	$2.924018 2.924018$
$2626$	$676676$	$5.099020 5.099020$	$17,576 17,576$	$2.962496 2.962496$
$2727$	$729729$	$5.196152 5.196152$	$19,683 19,683$	$33$
$2828$	$784784$	$5.291503 5.291503$	$21,952 21,952$	$3.036589 3.036589$
$2929$	$841841$	$5.385165 5.385165$	$24,389 24,389$	$3.072317 3.072317$
$3030$	$900900$	$5.477226 5.477226$	$27,000 27,000$	$3.107233 3.107233$
$3131$	$961961$	$5.567764 5.567764$	$29,791 29,791$	$3.141381 3.141381$
$3232$	$1,024 1,024$	$5.656854 5.656854$	$32,768 32,768$	$3.174802 3.174802$
$3333$	$1,089 1,089$	$5.744563 5.744563$	$35,937 35,937$	$3.207534 3.207534$
$3434$	$1,156 1,156$	$5.830952 5.830952$	$39,304 39,304$	$3.239612 3.239612$
$3535$	$1,225 1,225$	$5.916080 5.916080$	$42,875 42,875$	$3.271066 3.271066$
$3636$	$1,296 1,296$	$66$	$46,656 46,656$	$3.301927 3.301927$
$3737$	$1,369 1,369$	$6.082763 6.082763$	$5065350653$	$3.332222 3.332222$
$3838$	$1,444 1,444$	$6.164414 6.164414$	$54,872 54,872$	$3.361975 3.361975$
$3939$	$1,521 1,521$	$6.244998 6.244998$	$59,319 59,319$	$3.391211 3.391211$
$4040$	$1,600 1,600$	$6.324555 6.324555$	$64,000 64,000$	$3.419952 3.419952$
$4141$	$1,681 1,681$	$6.403124 6.403124$	$68,921 68,921$	$3.448217 3.448217$
$4242$	$1,764 1,764$	$6.480741 6.480741$	$74,088 74,088$	$3.476027 3.476027$
$4343$	$1,849 1,849$	$6.557439 6.557439$	$79,507 79,507$	$3.503398 3.503398$
$4444$	$1,936 1,936$	$6.633250 6.633250$	$85,184 85,184$	$3.530348 3.530348$
$4545$	$2,025 2,025$	$6.708204 6.708204$	$91,125 91,125$	$3.556893 3.556893$
$4646$	$2,116 2,116$	$6.782330 6.782330$	$97,336 97,336$	$3.583048 3.583048$
$4747$	$2,209 2,209$	$6.855655 6.855655$	$103,823 103,823$	$3.608826 3.608826$
$4848$	$2,304 2,304$	$6.928203 6.928203$	$110,592 110,592$	$3.634241 3.634241$
$4949$	$2,401 2,401$	$77$	$117,649 117,649$	$3.659306 3.659306$
$5050$	$2,500 2,500$	$7.071068 7.071068$	$125,000 125,000$	$3.684031 3.684031$
$5151$	$2,601 2,601$	$7.141428 7.141428$	$132,651 132,651$	$3.708430 3.708430$
$5252$	$2,704 2,704$	$7.211103 7.211103$	$140,608 140,608$	$3.732511 3.732511$
$5353$	$2,809 2,809$	$7.280110 7.280110$	$148,877 148,877$	$3.756286 3.756286$
$5454$	$2,916 2,916$	$7.348469 7.348469$	$157,464 157,464$	$3.779763 3.779763$
$5555$	$3,025 3,025$	$7.416198 7.416198$	$166,375 166,375$	$3.802952 3.802952$
$5656$	$3,136 3,136$	$7.483315 7.483315$	$175,616 175,616$	$3.825862 3.825862$
$5757$	$3,249 3,249$	$7.549834 7.549834$	$185,193 185,193$	$3.848501 3.848501$
$5858$	$3,364 3,364$	$7.615773 7.615773$	$195,112 195,112$	$3.870877 3.870877$
$5959$	$3,481 3,481$	$7.681146 7.681146$	$205,379 205,379$	$3.892996 3.892996$
$6060$	$3,600 3,600$	$7.745967 7.745967$	$216,000 216,000$	$3.914868 3.914868$
$6161$	$3,721 3,721$	$7.810250 7.810250$	$226,981 226,981$	$3.936497 3.936497$
$6262$	$3,844 3,844$	$7.874008 7.874008$	$238,328 238,328$	$3.957892 3.957892$
$6363$	$3,969 3,969$	$7.937254 7.937254$	$250,047 250,047$	$3.979057 3.979057$
$6464$	$4,096 4,096$	$88$	$262,144 262,144$	$44$
$6565$	$4,225 4,225$	$8.062258 8.062258$	$274,625 274,625$	$4.020726 4.020726$
$6666$	$4,356 4,356$	$8.124038 8.124038$	$287,496 287,496$	$4.041240 4.041240$
$6767$	$4,489 4,489$	$8.185353 8.185353$	$300,763 300,763$	$4.061548 4.061548$
$6868$	$4,624 4,624$	$8.246211 8.246211$	$314,432 314,432$	$4.081655 4.081655$
$6969$	$4,761 4,761$	$8.306624 8.306624$	$328,509 328,509$	$4.101566 4.101566$
$7070$	$4,900 4,900$	$8.366600 8.366600$	$343,000 343,000$	$4.121285 4.121285$
$7171$	$5,041 5,041$	$8.426150 8.426150$	$357,911 357,911$	$4.140818 4.140818$
$7272$	$5,184 5,184$	$8.485281 8.485281$	$373,248 373,248$	$4.160168 4.160168$
$7373$	$5,329 5,329$	$8.544004 8.544004$	$389,017 389,017$	$4.179339 4.179339$
$7474$	$5,476 5,476$	$8.602325 8.602325$	$405,224 405,224$	$4.198336 4.198336$
$7575$	$5,625 5,625$	$8.660254 8.660254$	$421,875 421,875$	$4.217163 4.217163$
$7676$	$5,776 5,776$	$8.717798 8.717798$	$438,976 438,976$	$4.235824 4.235824$
$7777$	$5,929 5,929$	$8.774964 8.774964$	$456,533 456,533$	$4.254321 4.254321$
$7878$	$6,084 6,084$	$8.831761 8.831761$	$474,552 474,552$	$4.272659 4.272659$
$7979$	$6,241 6,241$	$8.888194 8.888194$	$493,039 493,039$	$4.290840 4.290840$
$8080$	$6,400 6,400$	$8.944272 8.944272$	$512,000 512,000$	$4.308869 4.308869$
$8181$	$6,561 6,561$	$99$	$531,441 531,441$	$4.326749 4.326749$
$8282$	$6,724 6,724$	$9.055385 9.055385$	$551,368 551,368$	$4.344481 4.344481$
$8383$	$6,889 6,889$	$9.110434 9.110434$	$571,787 571,787$	$4.362071 4.362071$
$8484$	$7,056 7,056$	$9.165151 9.165151$	$592,704 592,704$	$4.379519 4.379519$
$8585$	$7,225 7,225$	$9.219544 9.219544$	$614,125 614,125$	$4.396830 4.396830$
$8686$	$7,396 7,396$	$9.273618 9.273618$	$636,056 636,056$	$4.414005 4.414005$
$8787$	$7,569 7,569$	$9.327379 9.327379$	$658,503 658,503$	$4.431048 4.431048$
$8888$	$7,744 7,744$	$9.380832 9.380832$	$681,472 681,472$	$4.447960 4.447960$
$8989$	$7,921 7,921$	$9.433981 9.433981$	$704,969 704,969$	$4.464745 4.464745$
$9090$	$8,100 8,100$	$9.486833 9.486833$	$729,000 729,000$	$4.481405 4.481405$
$9191$	$8,281 8,281$	$9.539392 9.539392$	$753,571 753,571$	$4.497941 4.497941$
$9292$	$8,464 8,464$	$9.591663 9.591663$	$778,688 778,688$	$4.514357 4.514357$
$9393$	$8,649 8,649$	$9.643651 9.643651$	$804,357 804,357$	$4.530655 4.530655$
$9494$	$8,836 8,836$	$9.695360 9.695360$	$830,584 830,584$	$4.546836 4.546836$
$9595$	$9,025 9,025$	$9.746794 9.746794$	$857,375 857,375$	$4.562903 4.562903$
$9696$	$9,216 9,216$	$9.797959 9.797959$	$884,736 884,736$	$4.578857 4.578857$
$9797$	$9,409 9,409$	$9.848858 9.848858$	$912,673 912,673$	$4.594701 4.594701$
$9898$	$9,604 9,604$	$9.899495 9.899495$	$941,192 941,192$	$4.610436 4.610436$
$9999$	$9,801 9,801$	$9.949874 9.949874$	$970,299 970,299$	$4.626065 4.626065$
$100100$	$10,000 10,000$	$1010$	$1,000,000 1,000,000$	$4.641589 4.641589$

Table B1