12.2: Повноваження та коріння

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Таблиця В1

\(n\)	\(n^{2}\)	\(\sqrt{n}\)	\(n^{3}\)	\(\sqrt[3]{n}\)
\ (n\) ">1	\ (n^ {2}\) ">1	\ (\ sqrt {n}\) ">1	\ (n^ {3}\) ">1	\ (\ sqrt [3] {n}\) ">1
\ (n\) ">2	\ (n^ {2}\) ">4	\ (\ sqrt {n}\) ">1.414214	\ (n^ {3}\) ">8	\ (\ sqrt [3] {n}\) ">1.259921
\ (n\) ">3	\ (n^ {2}\) ">9	\ (\ sqrt {n}\) ">1.732051	\ (n^ {3}\) ">27	\ (\ sqrt [3] {n}\) ">1.442250
\ (n\) ">4	\ (n^ {2}\) ">16	\ (\ sqrt {n}\) ">2	\ (n^ {3}\) ">64	\ (\ sqrt [3] {n}\) ">1.587401
\ (n\) ">5	\ (n^ {2}\) ">25	\ (\ sqrt {n}\) ">2.236068	\ (n^ {3}\) ">125	\ (\ sqrt [3] {n}\) ">1.709976
\ (n\) ">6	\ (n^ {2}\) ">36	\ (\ sqrt {n}\) ">2.449490	\ (n^ {3}\) ">216	\ (\ sqrt [3] {n}\) ">1.817121
\ (n\) ">7	\ (n^ {2}\) ">49	\ (\ sqrt {n}\) ">2.645751	\ (n^ {3}\) ">343	\ (\ sqrt [3] {n}\) ">1.912931
\ (n\) ">8	\ (n^ {2}\) ">64	\ (\ sqrt {n}\) ">2.828427	\ (n^ {3}\) ">512	\ (\ sqrt [3] {n}\) ">2
\ (n\) ">9	\ (n^ {2}\) ">81	\ (\ sqrt {n}\) ">3	\ (n^ {3}\) ">729	\ (\ sqrt [3] {n}\) ">2.080084
\ (n\) ">10	\ (n^ {2}\) ">100	\ (\ sqrt {n}\) ">3.162278	\ (n^ {3}\) ">1,000	\ (\ sqrt [3] {n}\) ">2.154435
\ (n\) ">11	\ (n^ {2}\) ">121	\ (\ sqrt {n}\) ">3316625	\ (n^ {3}\) ">1,331	\ (\ sqrt [3] {n}\) ">1.223980
\ (n\) ">12	\ (n^ {2}\) ">144	\ (\ sqrt {n}\) ">3.464102	\ (n^ {3}\) ">1,728	\ (\ sqrt [3] {n}\) ">2.289428
\ (n\) ">13	\ (n^ {2}\) ">169	\ (\ sqrt {n}\) ">3.605551	\ (n^ {3}\) ">2,197	\ (\ sqrt [3] {n}\) ">2.351335
\ (n\) ">14	\ (n^ {2}\) ">196	\ (\ sqrt {n}\) ">3.741657	\ (n^ {3}\) ">2,744	\ (\ sqrt [3] {n}\) ">2.410142
\ (n\) ">15	\ (n^ {2}\) ">225	\ (\ sqrt {n}\) ">3.872983	\ (n^ {3}\) ">3,375	\ (\ sqrt [3] {n}\) ">2,466212
\ (n\) ">16	\ (n^ {2}\) ">256	\ (\ sqrt {n}\) ">4	\ (n^ {3}\) ">4,096	\ (\ sqrt [3] {n}\) ">2.519842
\ (n\) ">17	\ (n^ {2}\) ">289	\ (\ sqrt {n}\) ">4.123106	\ (n^ {3}\) ">4,913	\ (\ sqrt [3] {n}\) ">2.571282
\ (n\) ">18	\ (n^ {2}\) ">324	\ (\ sqrt {n}\) ">4.242641	\ (n^ {3}\) ">5,832	\ (\ sqrt [3] {n}\) ">2.620741
\ (n\) ">19	\ (n^ {2}\) ">361	\ (\ sqrt {n}\) ">4.358899	\ (n^ {3}\) ">6,859	\ (\ sqrt [3] {n}\) ">2.668402
\ (n\) ">20	\ (n^ {2}\) ">400	\ (\ sqrt {n}\) ">4.472136	\ (n^ {3}\) ">8,000	\ (\ sqrt [3] {n}\) ">2.714418
\ (n\) ">21	\ (n^ {2}\) ">441	\ (\ sqrt {n}\) ">4.582576	\ (n^ {3}\) ">9,261	\ (\ sqrt [3] {n}\) ">2.758924
\ (n\) ">22	\ (n^ {2}\) ">484	\ (\ sqrt {n}\) ">4.690416	\ (n^ {3}\) ">10,648	\ (\ sqrt [3] {n}\) ">2.802039
\ (n\) ">23	\ (n^ {2}\) ">529	\ (\ sqrt {n}\) ">4.795832	\ (n^ {3}\) ">12,167	\ (\ sqrt [3] {n}\) ">2.843867
\ (n\) ">24	\ (n^ {2}\) ">576	\ (\ sqrt {n}\) ">4.898979	\ (n^ {3}\) ">13,824	\ (\ sqrt [3] {n}\) ">2.884499
\ (n\) ">25	\ (n^ {2}\) ">625	\ (\ sqrt {n}\) ">5	\ (n^ {3}\) ">15,625	\ (\ sqrt [3] {n}\) ">2.924018
\ (n\) ">26	\ (n^ {2}\) ">676	\ (\ sqrt {n}\) ">5.099020	\ (n^ {3}\) ">17,576	\ (\ sqrt [3] {n}\) ">2.962496
\ (n\) ">27	\ (n^ {2}\) ">729	\ (\ sqrt {n}\) ">5.196152	\ (n^ {3}\) ">19 683	\ (\ sqrt [3] {n}\) ">3
\ (n\) ">28	\ (n^ {2}\) ">784	\ (\ sqrt {n}\) ">5.291503	\ (n^ {3}\) ">21,952	\ (\ sqrt [3] {n}\) ">3.036589
\ (n\) ">29	\ (n^ {2}\) ">841	\ (\ sqrt {n}\) ">5.385165	\ (n^ {3}\) ">24,389	\ (\ sqrt [3] {n}\) ">3.072317
\ (n\) ">30	\ (n^ {2}\) ">900	\ (\ sqrt {n}\) ">5.477226	\ (n^ {3}\) ">27 000	\ (\ sqrt [3] {n}\) ">3.107233
\ (n\) ">31	\ (n^ {2}\) ">961	\ (\ sqrt {n}\) ">5.567764	\ (n^ {3}\) ">29 791	\ (\ sqrt [3] {n}\) ">3.141381
\ (n\) ">32	\ (n^ {2}\) ">1,024	\ (\ sqrt {n}\) ">5.656854	\ (n^ {3}\) ">32 768	\ (\ sqrt [3] {n}\) ">3.17482
\ (n\) ">33	\ (n^ {2}\) ">1,089	\ (\ sqrt {n}\) ">5.744563	\ (n^ {3}\) ">35,937	\ (\ sqrt [3] {n}\) ">3.207534
\ (n\) ">34	\ (n^ {2}\) ">1,156	\ (\ sqrt {n}\) ">5.830952	\ (n^ {3}\) ">39,304	\ (\ sqrt [3] {n}\) ">3.239612
\ (n\) ">35	\ (n^ {2}\) ">1,225	\ (\ sqrt {n}\) ">5.916080	\ (n^ {3}\) ">42 875	\ (\ sqrt [3] {n}\) ">3.271066
\ (n\) ">36	\ (n^ {2}\) ">1,296	\ (\ sqrt {n}\) ">6	\ (n^ {3}\) ">46 656	\ (\ sqrt [3] {n}\) ">3.301927
\ (n\) ">37	\ (n^ {2}\) ">1,369	\ (\ sqrt {n}\) ">6.082763	\ (n^ {3}\) ">50,653	\ (\ sqrt [3] {n}\) ">3.332222
\ (n\) ">38	\ (n^ {2}\) ">1,444	\ (\ sqrt {n}\) ">6164414	\ (n^ {3}\) ">54 872	\ (\ sqrt [3] {n}\) ">3.361975
\ (n\) ">39	\ (n^ {2}\) ">1,521	\ (\ sqrt {n}\) ">6.244998	\ (n^ {3}\) ">59,319	\ (\ sqrt [3] {n}\) ">3.391211
\ (n\) ">40	\ (n^ {2}\) ">1,600	\ (\ sqrt {n}\) ">6.324555	\ (n^ {3}\) ">64 000	\ (\ sqrt [3] {n}\) ">3.419952
\ (n\) ">41	\ (n^ {2}\) ">1,681	\ (\ sqrt {n}\) ">6.403124	\ (n^ {3}\) ">68,921	\ (\ sqrt [3] {n}\) ">3.448217
\ (n\) ">42	\ (n^ {2}\) ">1.764	\ (\ sqrt {n}\) ">6.480741	\ (n^ {3}\) ">74,088	\ (\ sqrt [3] {n}\) ">3.476027
\ (n\) ">43	\ (n^ {2}\) ">1.849	\ (\ sqrt {n}\) ">6.557439	\ (n^ {3}\) ">79,507	\ (\ sqrt [3] {n}\) ">3.503398
\ (n\) ">44	\ (n^ {2}\) ">1,936	\ (\ sqrt {n}\) ">6.633250	\ (n^ {3}\) ">85,184	\ (\ sqrt [3] {n}\) ">3.530348
\ (n\) ">45	\ (n^ {2}\) ">2,025	\ (\ sqrt {n}\) ">6.708204	\ (n^ {3}\) ">91,125	\ (\ sqrt [3] {n}\) ">3.556893
\ (n\) ">46	\ (n^ {2}\) ">2,116	\ (\ sqrt {n}\) ">6.782330	\ (n^ {3}\) ">97,336	\ (\ sqrt [3] {n}\) ">3.583048
\ (n\) ">47	\ (n^ {2}\) ">2,209	\ (\ sqrt {n}\) ">6.855655	\ (n^ {3}\) ">103 823	\ (\ sqrt [3] {n}\) ">3.608826
\ (n\) ">48	\ (n^ {2}\) ">2,304	\ (\ sqrt {n}\) ">6.928203	\ (n^ {3}\) ">110,592	\ (\ sqrt [3] {n}\) ">3.6324241
\ (n\) ">49	\ (n^ {2}\) ">2,401	\ (\ sqrt {n}\) ">7	\ (n^ {3}\) ">117 649	\ (\ sqrt [3] {n}\) ">3.659306
\ (n\) ">50	\ (n^ {2}\) ">2,500	\ (\ sqrt {n}\) ">7.071068	\ (n^ {3}\) ">125 000	\ (\ sqrt [3] {n}\) ">3.684031
\ (n\) ">51	\ (n^ {2}\) ">2,601	\ (\ sqrt {n}\) ">7.141428	\ (n^ {3}\) ">132,651	\ (\ sqrt [3] {n}\) ">3.708430
\ (n\) ">52	\ (n^ {2}\) ">2,704	\ (\ sqrt {n}\) ">7.211103	\ (n^ {3}\) ">140,608	\ (\ sqrt [3] {n}\) ">3.732511
\ (n\) ">53	\ (n^ {2}\) ">2,809	\ (\ sqrt {n}\) ">7.280110	\ (n^ {3}\) ">148,877	\ (\ sqrt [3] {n}\) ">3.756286
\ (n\) ">54	\ (n^ {2}\) ">2,916	\ (\ sqrt {n}\) ">7.348469	\ (n^ {3}\) ">157 464	\ (\ sqrt [3] {n}\) ">3.779763
\ (n\) ">55	\ (n^ {2}\) ">3,025	\ (\ sqrt {n}\) ">7.416198	\ (n^ {3}\) ">166,375	\ (\ sqrt [3] {n}\) ">3.802952
\ (n\) ">56	\ (n^ {2}\) ">3,136	\ (\ sqrt {n}\) ">7.483315	\ (n^ {3}\) ">175 616	\ (\ sqrt [3] {n}\) ">3.825862
\ (n\) ">57	\ (n^ {2}\) ">3,249	\ (\ sqrt {n}\) ">7.549834	\ (n^ {3}\) ">185,193	\ (\ sqrt [3] {n}\) ">3.848501
\ (n\) ">58	\ (n^ {2}\) ">3,364	\ (\ sqrt {n}\) ">7.615773	\ (n^ {3}\) ">195,112	\ (\ sqrt [3] {n}\) ">3.870877
\ (n\) ">59	\ (n^ {2}\) ">3,481	\ (\ sqrt {n}\) ">7.681146	\ (n^ {3}\) ">205 379	\ (\ sqrt [3] {n}\) ">3.892996
\ (n\) ">60	\ (n^ {2}\) ">3,600	\ (\ sqrt {n}\) ">7.745967	\ (n^ {3}\) ">216,000	\ (\ sqrt [3] {n}\) ">3.914868
\ (n\) ">61	\ (n^ {2}\) ">3,721	\ (\ sqrt {n}\) ">7.810250	\ (n^ {3}\) ">226,981	\ (\ sqrt [3] {n}\) ">3.936497
\ (n\) ">62	\ (n^ {2}\) ">3,844	\ (\ sqrt {n}\) ">7.874008	\ (n^ {3}\) ">238,328	\ (\ sqrt [3] {n}\) ">3.957892
\ (n\) ">63	\ (n^ {2}\) ">3,969	\ (\ sqrt {n}\) ">7.937254	\ (n^ {3}\) ">250,047	\ (\ sqrt [3] {n}\) ">3.979057
\ (n\) ">64	\ (n^ {2}\) ">4,096	\ (\ sqrt {n}\) ">8	\ (n^ {3}\) ">262,144	\ (\ sqrt [3] {n}\) ">4
\ (n\) ">65	\ (n^ {2}\) ">4,225	\ (\ sqrt {n}\) ">8.062258	\ (n^ {3}\) ">274,625	\ (\ sqrt [3] {n}\) ">4.020726
\ (n\) ">66	\ (n^ {2}\) ">6,356	\ (\ sqrt {n}\) ">8.124038	\ (n^ {3}\) ">287,496	\ (\ sqrt [3] {n}\) ">4.041240
\ (n\) ">67	\ (n^ {2}\) ">4,489	\ (\ sqrt {n}\) ">8.185353	\ (n^ {3}\) ">300,763	\ (\ sqrt [3] {n}\) ">4.061548
\ (n\) ">68	\ (n^ {2}\) ">4,624	\ (\ sqrt {n}\) ">8.246211	\ (n^ {3}\) ">314,432	\ (\ sqrt [3] {n}\) ">4.081655
\ (n\) ">69	\ (n^ {2}\) ">4,761	\ (\ sqrt {n}\) ">8.306624	\ (n^ {3}\) ">328,509	\ (\ sqrt [3] {n}\) ">4.101566
\ (n\) ">70	\ (n^ {2}\) ">4,900	\ (\ sqrt {n}\) ">8.366600	\ (n^ {3}\) ">343 000	\ (\ sqrt [3] {n}\) ">4.121285
\ (n\) ">71	\ (n^ {2}\) ">5,041	\ (\ sqrt {n}\) ">8.426150	\ (n^ {3}\) ">357,911	\ (\ sqrt [3] {n}\) ">4.140818
\ (n\) ">72	\ (n^ {2}\) ">5,184	\ (\ sqrt {n}\) ">8.485281	\ (n^ {3}\) ">389,017	\ (\ sqrt [3] {n}\) ">4.179339
\ (n\) ">73	\ (n^ {2}\) ">5,329	\ (\ sqrt {n}\) ">8.544004	\ (n^ {3}\) ">389,017	\ (\ sqrt [3] {n}\) ">4.179339
\ (n\) ">74	\ (n^ {2}\) ">5,476	\ (\ sqrt {n}\) ">8.602325	\ (n^ {3}\) ">405 224	\ (\ sqrt [3] {n}\) ">4.198336
\ (n\) ">75	\ (n^ {2}\) ">5,625	\ (\ sqrt {n}\) ">8.660254	\ (n^ {3}\) ">421,875	\ (\ sqrt [3] {n}\) ">4.217163
\ (n\) ">76	\ (n^ {2}\) ">5,776	\ (\ sqrt {n}\) ">8.17798	\ (n^ {3}\) ">438,976	\ (\ sqrt [3] {n}\) ">4.235824
\ (n\) ">77	\ (n^ {2}\) ">5.929	\ (\ sqrt {n}\) ">8774964	\ (n^ {3}\) ">456,533	\ (\ sqrt [3] {n}\) ">4.254321
\ (n\) ">78	\ (n^ {2}\) ">6,084	\ (\ sqrt {n}\) ">8.831761	\ (n^ {3}\) ">474,552	\ (\ sqrt [3] {n}\) ">4.272659
\ (n\) ">79	\ (n^ {2}\) ">6,241	\ (\ sqrt {n}\) ">8.888194	\ (n^ {3}\) ">493,039	\ (\ sqrt [3] {n}\) ">4.290840
\ (n\) ">80	\ (n^ {2}\) ">6,400	\ (\ sqrt {n}\) ">8.944272	\ (n^ {3}\) ">512 000	\ (\ sqrt [3] {n}\) ">4.308869
\ (n\) ">81	\ (n^ {2}\) ">6,561	\ (\ sqrt {n}\) ">9	\ (n^ {3}\) ">531,441	\ (\ sqrt [3] {n}\) ">4.326749
\ (n\) ">82	\ (n^ {2}\) ">6,724	\ (\ sqrt {n}\) ">9.055385	\ (n^ {3}\) ">551,368	\ (\ sqrt [3] {n}\) ">4.344481
\ (n\) ">83	\ (n^ {2}\) ">6,889	\ (\ sqrt {n}\) ">9.110434	\ (n^ {3}\) ">571,787	\ (\ sqrt [3] {n}\) ">4.362071
\ (n\) ">84	\ (n^ {2}\) ">7,056	\ (\ sqrt {n}\) ">9.165151	\ (n^ {3}\) ">592 704	\ (\ sqrt [3] {n}\) ">4.379519
\ (n\) ">85	\ (n^ {2}\) ">7,225	\ (\ sqrt {n}\) ">9.219544	\ (n^ {3}\) ">614,125	\ (\ sqrt [3] {n}\) ">4.396830
\ (n\) ">86	\ (n^ {2}\) ">7,396	\ (\ sqrt {n}\) ">9.273618	\ (n^ {3}\) ">636,056	\ (\ sqrt [3] {n}\) ">4.414005
\ (n\) ">87	\ (n^ {2}\) ">7,569	\ (\ sqrt {n}\) ">9.327379	\ (n^ {3}\) ">658,503	\ (\ sqrt [3] {n}\) ">4.431048
\ (n\) ">88	\ (n^ {2}\) ">7,744	\ (\ sqrt {n}\) ">9.380832	\ (n^ {3}\) ">681,472	\ (\ sqrt [3] {n}\) ">4.447960
\ (n\) ">89	\ (n^ {2}\) ">7,821	\ (\ sqrt {n}\) ">8.433981	\ (n^ {3}\) ">704,969	\ (\ sqrt [3] {n}\) ">4.464745
\ (n\) ">90	\ (n^ {2}\) ">8,100	\ (\ sqrt {n}\) ">9.486833	\ (n^ {3}\) ">729 000	\ (\ sqrt [3] {n}\) ">4.481405
\ (n\) ">91	\ (n^ {2}\) ">8,281	\ (\ sqrt {n}\) ">9.539392	\ (n^ {3}\) ">753,571	\ (\ sqrt [3] {n}\) ">4.497941
\ (n\) ">92	\ (n^ {2}\) ">8,464	\ (\ sqrt {n}\) ">9.591663	\ (n^ {3}\) ">778,688	\ (\ sqrt [3] {n}\) ">4.514357
\ (n\) ">93	\ (n^ {2}\) ">8,649	\ (\ sqrt {n}\) ">9.643651	\ (n^ {3}\) ">804,357	\ (\ sqrt [3] {n}\) ">4.530655
\ (n\) ">94	\ (n^ {2}\) ">8,836	\ (\ sqrt {n}\) ">9.695360	\ (n^ {3}\) ">830,584	\ (\ sqrt [3] {n}\) ">4.546836
\ (n\) ">95	\ (n^ {2}\) ">9,025	\ (\ sqrt {n}\) ">9.746794	\ (n^ {3}\) ">857,375	\ (\ sqrt [3] {n}\) ">4.562903
\ (n\) ">96	\ (n^ {2}\) ">9,216	\ (\ sqrt {n}\) ">9.797959	\ (n^ {3}\) ">884,736	\ (\ sqrt [3] {n}\) ">4.578857
\ (n\) ">97	\ (n^ {2}\) ">9,409	\ (\ sqrt {n}\) ">9.848858	\ (n^ {3}\) ">912,673	\ (\ sqrt [3] {n}\) ">4.594701
\ (n\) ">98	\ (n^ {2}\) ">9,604	\ (\ sqrt {n}\) ">9.899495	\ (n^ {3}\) ">941,192	\ (\ sqrt [3] {n}\) ">4.610436
\ (n\) ">99	\ (n^ {2}\) ">9,801	\ (\ sqrt {n}\) ">9.949874	\ (n^ {3}\) ">970,299	\ (\ sqrt [3] {n}\) ">4.62065
\ (n\) ">100	\ (n^ {2}\) ">10,000	\ (\ sqrt {n}\) ">10	\ (n^ {3}\) ">1 000 000	\ (\ sqrt [3] {n}\) ">4.641589

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