Squares and Cubes | Square & Cube Root | Best List of Square & Cube

Hello Friends Today, we will learn about Squares and Cubes. In which we can include Square definition, Cube definition, Square Formula, Cube Formula, Squares and Cubes Example, Square Root and Cube Root, Square Root, Cube root, Square Root Formula, Cube Root Formula, Square Root and Cube Root Example as well You will get all the information about List of Squares and Cubes.

Table of Contents

Square

A Natural Number is Called a Perfect Square if it is a Square of a Natural Number. that is,

If m = n², then m is a perfect square, where m and n are natural numbers.

In easy language, we can say that When a number is multiplied by itself, the number derived from it is called the square of that number.

Square Formula : Square of n is : n² = n×n = m

Square Examples :

Square of 1 is : 1² = 1×1 = 1
Square of 2 is : 2² = 2×2 = 4
Square of 3 is : 3² = 3×3 = 9
Square of 4 is : 4² = 4×4 = 16
Square of 5 is : 5² = 5×5 = 25
Square of 6 is : 6² = 6×6 = 36
Square of 7 is : 7² = 7×7 = 49
Square of 8 is : 8² = 8×8 = 64
Square of 9 is : 9² = 9×9 = 81
Square of 10 is : 10² = 10×10 = 100

Cube

A natural number is called a perfect cube, if it is a cube of a natural number, that is,
If m = n³, then m is a perfect cube, where m and n are natural numbers.

In easy language, we can say that When a number is multiplied by itself three times, the number obtained is called the cube of that number.

Cube Formula : Cube of n is : n³ = n×n×n = m

Cube Examples :

Cube of 1 is : 1³ = 1×1×1 = 1
Cube of 2 is : 2³ = 2×2×2 = 8
Cube of 3 is : 3³ = 3×3×3 = 27
Cube of 4 is : 4³ = 4×4×4 = 64
Cube of 5 is : 5³ = 5×5×5 = 125
Cube of 6 is : 6³ = 6×6×6 = 216
Cube of 7 is : 7³ = 7×7×7 = 343
Cube of 8 is : 8³ = 8×8×8 = 512
Cube of 9 is : 9³ = 9×9×9 = 729
Cube of 10 is : 10³ = 10×10×10 = 1000

Common things in Squares and Cubes

A perfect square (other than 1) can always be expressed as a product of pairs of identical prime factors.
A perfect cube (other than 1) can always be expressed as a product of triangles of the same prime factors.
Square and cube of even numbers are even number.
Squares and cubes of odd numbers are odd numbers.

Square Root and Cube Root

Square Root

The square root of the number x is the number whose square is x. The positive square root of the number x is represented by $\sqrt { x }$ .

According to Definition Square Root Formula : Square Root of m is : $\sqrt { m }$ = n

Square Root Examples :

Square Root of 100 is : $\sqrt { 100 }$ = 10
Square Root of 81 is : $\sqrt { 81 }$ = 9
Square Root of 64 is : $\sqrt { 64 }$ = 8
Square Root of 49 is : $\sqrt { 49 }$ = 7
Square Root of 36 is : $\sqrt { 36 }$ = 6
Square Root of 25 is : $\sqrt { 25 }$ = 5

Square Root Example in Points Value :

Square Root of 2 is : $\sqrt { 2 }$ = 1.4142135623731
Square Root of 3 is : $\sqrt { 3 }$ = 1.7320508075689
Square Root of 5 is : $\sqrt { 5 }$ = 2.2360679774998
Square Root of 6 is : $\sqrt { 6 }$ = 2.4494897427832
Square Root of 7 is : $\sqrt { 7 }$ = 2.6457513110646

Cube Root

The cube root of the number x is the number whose cube is x. It is represented by $\sqrt [ 3 ]{ x }$ .

According to Definition Cube Root Formula : Cube Root of m is : $\sqrt [ 3 ]{ m }$ = n

Note : Square root and cube root are inverse operations of squaring and cube respectively.

Cube Root Examples :

Cube Root of 125 is : $\sqrt [ 3 ]{ 125 }$ = 5
Cube Root of 64 is : $\sqrt [ 3 ]{ 64 }$ = 4
Cube Root of 27 is : $\sqrt [ 3 ]{ 27 }$ = 3
Cube Root of 8 is : $\sqrt [ 3 ]{ 8 }$ = 2
Cube Root of 1 is : $\sqrt [ 3 ]{ 1 }$ = 1

Cube Root Example in Points Value :

Cube Root of 2 is : $\sqrt [ 3 ]{ 2 }$ = 1.260
Cube Root of 3 is : $\sqrt [ 3 ]{ 3 }$ = 1.442
Cube Root of 4 is : $\sqrt [ 3 ]{ 4 }$ = 1.587
Cube Root of 5 is : $\sqrt [ 3 ]{ 5 }$ = 1.710
Cube Root of 6 is : $\sqrt [ 3 ]{ 6 }$ = 1.817

List of Squares and Cubes

square root of numbers — Square Root of Numbers

Squares, Cubes, Cube Root and Square Root Number Ranging 1-1000 (Squares and Cubes)

No	Square	Cube	Square Root	Cube Root
1	1	1	1	1.000
2	4	8	1.4142135623731	1.260
3	9	27	1.7320508075689	1.442
4	16	64	2	1.587
5	25	125	2.2360679774998	1.710
6	36	216	2.4494897427832	1.817
7	49	343	2.6457513110646	1.913
8	64	512	2.8284271247462	2.000
9	81	729	3	2.080
10	100	1000	3.1622776601684	2.154
11	121	1331	3.3166247903554	2.224
12	144	1728	3.4641016151378	2.289
13	169	2197	3.605551275464	2.351
14	196	2744	3.7416573867739	2.410
15	225	3375	3.8729833462074	2.466
16	256	4096	4	2.520
17	289	4913	4.1231056256177	2.571
18	324	5832	4.2426406871193	2.621
19	361	6859	4.3588989435407	2.668
20	400	8000	4.4721359549996	2.714
21	441	9261	4.5825756949558	2.759
22	484	10648	4.6904157598234	2.802
23	529	12167	4.7958315233127	2.844
24	576	13824	4.8989794855664	2.884
25	625	15625	5	2.924
26	676	17576	5.0990195135928	2.962
27	729	19683	5.1961524227066	3.000
28	784	21952	5.2915026221292	3.037
29	841	24389	5.3851648071345	3.072
30	900	27000	5.4772255750517	3.107
31	961	29791	5.56776436283	3.141
32	1024	32768	5.6568542494924	3.175
33	1089	35937	5.744562646538	3.208
34	1156	39304	5.8309518948453	3.240
35	1225	42875	5.9160797830996	3.271
36	1296	46656	6	3.302
37	1369	50653	6.0827625302982	3.332
38	1444	54872	6.164414002969	3.362
39	1521	59319	6.2449979983984	3.391
40	1600	64000	6.3245553203368	3.420
41	1681	68921	6.4031242374328	3.448
42	1764	74088	6.4807406984079	3.476
43	1849	79507	6.557438524302	3.503
44	1936	85184	6.6332495807108	3.530
45	2025	91125	6.7082039324994	3.557
46	2116	97336	6.7823299831253	3.583
47	2209	103823	6.855654600401	3.609
48	2304	110592	6.9282032302755	3.634
49	2401	117649	7	3.659
50	2500	125000	7.0710678118655	3.684
51	2601	132651	7.1414284285429	3.708
52	2704	140608	7.211102550928	3.733
53	2809	148877	7.2801098892805	3.756
54	2916	157464	7.3484692283495	3.780
55	3025	166375	7.4161984870957	3.803
56	3136	175616	7.4833147735479	3.826
57	3249	185193	7.5498344352707	3.849
58	3364	195112	7.6157731058639	3.871
59	3481	205379	7.6811457478686	3.893
60	3600	216000	7.7459666924148	3.915
61	3721	226981	7.8102496759067	3.936
62	3844	238328	7.8740078740118	3.958
63	3969	250047	7.9372539331938	3.979
64	4096	262144	8	4.000
65	4225	274625	8.0622577482985	4.021
66	4356	287496	8.124038404636	4.041
67	4489	300763	8.1853527718725	4.062
68	4624	314432	8.2462112512353	4.082
69	4761	328509	8.3066238629181	4.102
70	4900	343000	8.3666002653408	4.121
71	5041	357911	8.4261497731764	4.141
72	5184	373248	8.4852813742386	4.160
73	5329	389017	8.5440037453175	4.179
74	5476	405224	8.6023252670426	4.198
75	5625	421875	8.6602540378444	4.217
76	5776	438976	8.7177978870813	4.236
77	5929	456533	8.7749643873921	4.254
78	6084	474552	8.8317608663278	4.273
79	6241	493039	8.8881944173156	4.291
80	6400	512000	8.9442719099992	4.309
81	6561	531441	9	4.327
82	6724	551368	9.0553851381374	4.344
83	6889	571787	9.1104335791443	4.362
84	7056	592704	9.1651513899117	4.380
85	7225	614125	9.2195444572929	4.397
86	7396	636056	9.2736184954957	4.414
87	7569	658503	9.3273790530888	4.431
88	7744	681472	9.3808315196469	4.448
89	7921	704969	9.4339811320566	4.465
90	8100	729000	9.4868329805051	4.481
91	8281	753571	9.5393920141695	4.498
92	8464	778688	9.5916630466254	4.514
93	8649	804357	9.643650760993	4.531
94	8836	830584	9.6953597148327	4.547
95	9025	857375	9.746794344809	4.563
96	9216	884736	9.7979589711327	4.579
97	9409	912673	9.8488578017961	4.595
98	9604	941192	9.8994949366117	4.610
99	9801	970299	9.9498743710662	4.626
100	10000	1000000	10	4.641
101	10201	1030301	10.049875621121	4.657
102	10404	1061208	10.099504938362	4.672
103	10609	1092727	10.148891565092	4.687
104	10816	1124864	10.198039027186	4.702
105	11025	1157625	10.24695076596	4.717
106	11236	1191016	10.295630140987	4.732
107	11449	1225043	10.344080432789	4.747
108	11664	1259712	10.392304845413	4.762
109	11881	1295029	10.440306508911	4.776
110	12100	1331000	10.488088481702	4.791
111	12321	1367631	10.535653752853	4.805
112	12544	1404928	10.583005244258	4.820
113	12769	1442897	10.630145812735	4.834
114	12996	1481544	10.677078252031	4.848
115	13225	1520875	10.723805294764	4.862
116	13456	1560896	10.770329614269	4.876
117	13689	1601613	10.816653826392	4.890
118	13924	1643032	10.8627804912	4.904
119	14161	1685159	10.908712114636	4.918
120	14400	1728000	10.954451150103	4.932
121	14641	1771561	11	4.946
122	14884	1815848	11.045361017187	4.959
123	15129	1860867	11.090536506409	4.973
124	15376	1906624	11.13552872566	7.986
125	15625	1953125	11.180339887499	5
126	15876	2000376	11.224972160322	5.013
127	16129	2048383	11.269427669585	5.026
128	16384	2097152	11.313708498985	5.039
129	16641	2146689	11.357816691601	5.052
130	16900	2197000	11.401754250991	5.065
131	17161	2248091	11.44552314226	5.078
132	17424	2299968	11.489125293076	5.091
133	17689	2352637	11.532562594671	5.104
134	17956	2406104	11.57583690279	5.117
135	18225	2460375	11.618950038622	5.129
136	18496	2515456	11.661903789691	5.142
137	18769	2571353	11.70469991072	5.155
138	19044	2628072	11.747340124471	5.167
139	19321	2685619	11.789826122552	5.180
140	19600	2744000	11.832159566199	5.192
141	19881	2803221	11.874342087038	5.204
142	20164	2863288	11.916375287813	5.217
143	20449	2924207	11.958260743101	5.229
144	20736	2985984	12	5.241
145	21025	3048625	12.041594578792	5.253
146	21316	3112136	12.083045973595	5.265
147	21609	3176523	12.124355652982	5.277
148	21904	3241792	12.165525060596	5.289
149	22201	3307949	12.206555615734	5.301
150	22500	3375000	12.247448713916	5.313
151	22801	3442951	12.288205727445	5.325
152	23104	3511808	12.328828005938	5.336
153	23409	3581577	12.369316876853	5.348
154	23716	3652264	12.409673645991	5.360
155	24025	3723875	12.449899597989	5.371
156	24336	3796416	12.489995996797	5.383
157	24649	3869893	12.529964086142	5.394
158	24964	3944312	12.569805089977	5.406
159	25281	4019679	12.609520212918	5.417
160	25600	4096000	12.649110640674	5.428
161	25921	4173281	12.68857754045	5.440
162	26244	4251528	12.727922061358	5.451
163	26569	4330747	12.767145334804	5.462
164	26896	4410944	12.806248474866	5.473
165	27225	4492125	12.845232578665	5.484
166	27556	4574296	12.884098726725	5.495
167	27889	4657463	12.92284798332	5.506
168	28224	4741632	12.961481396816	5.517
169	28561	4826809	13	5.528
170	28900	4913000	13.038404810405	5.539
171	29241	5000211	13.076696830622	5.550
172	29584	5088448	13.114877048604	5.561
173	29929	5177717	13.152946437966	5.572
174	30276	5268024	13.190905958273	5.582
175	30625	5359375	13.228756555323	5.593
176	30976	5451776	13.266499161422	5.604
177	31329	5545233	13.30413469565	5.614
178	31684	5639752	13.341664064126	5.625
179	32041	5735339	13.37908816026	5.635
180	32400	5832000	13.416407864999	5.646
181	32761	5929741	13.453624047074	5.656
182	33124	6028568	13.490737563232	5.667
183	33489	6128487	13.527749258469	5.677
184	33856	6229504	13.564659966251	5.687
185	34225	6331625	13.601470508735	5.698
186	34596	6434856	13.638181696986	5.708
187	34969	6539203	13.674794331177	5.718
188	35344	6644672	13.711309200802	5.728
189	35721	6751269	13.747727084868	5.738
190	36100	6859000	13.78404875209	5.748
191	36481	6967871	13.820274961085	5.758
192	36864	7077888	13.856406460551	5.768
193	37249	7189057	13.89244398945	5.778
194	37636	7301384	13.928388277184	5.788
195	38025	7414875	13.964240043769	5.798
196	38416	7529536	14	5.808
197	38809	7645373	14.035668847618	5.818
198	39204	7762392	14.07124727947	5.828
199	39601	7880599	14.106735979666	5.838
200	40000	8000000	14.142135623731	5.848
201	40401	8120601	14.177446878758	5.857
202	40804	8242408	14.212670403552	5.867
203	41209	8365427	14.247806848775	5.877
204	41616	8489664	14.282856857086	5.886
205	42025	8615125	14.317821063276	5.896
206	42436	8741816	14.352700094407	5.905
207	42849	8869743	14.387494569938	5.915
208	43264	8998912	14.422205101856	5.924
209	43681	9129329	14.456832294801	5.934
210	44100	9261000	14.491376746189	5.943
211	44521	9393931	14.525839046334	5.953
212	44944	9528128	14.560219778561	5.962
213	45369	9663597	14.594519519326	5.972
214	45796	9800344	14.628738838328	5.981
215	46225	9938375	14.662878298615	5.990
216	46656	10077696	14.696938456699	6
217	47089	10218313	14.730919862656	6.009
218	47524	10360232	14.764823060233	6.018
219	47961	10503459	14.798648586949	6.027
220	48400	10648000	14.832396974191	6.036
221	48841	10793861	14.866068747319	6.045
222	49284	10941048	14.899664425751	6.055
223	49729	11089567	14.933184523068	6.064
224	50176	11239424	14.966629547096	6.073
225	50625	11390625	15	6.082
226	51076	11543176	15.033296378373	6.091
227	51529	11697083	15.066519173319	6.100
228	51984	11852352	15.099668870541	6.109
229	52441	12008989	15.132745950422	6.118
230	52900	12167000	15.165750888103	6.126
231	53361	12326391	15.198684153571	6.135
232	53824	12487168	15.231546211728	6.144
233	54289	12649337	15.264337522474	6.153
234	54756	12812904	15.297058540778	6.162
235	55225	12977875	15.329709716756	6.171
236	55696	13144256	15.362291495737	6.179
237	56169	13312053	15.394804318341	6.188
238	56644	13481272	15.427248620542	6.197
239	57121	13651919	15.45962483374	6.205
240	57600	13824000	15.49193338483	6.214
241	58081	13997521	15.52417469626	6.223
242	58564	14172488	15.556349186104	6.231
243	59049	14348907	15.58845726812	6.240
244	59536	14526784	15.620499351813	6.248
245	60025	14706125	15.652475842499	6.257
246	60516	14886936	15.684387141358	6.265
247	61009	15069223	15.716233645502	6.274
248	61504	15252992	15.748015748024	6.282
249	62001	15438249	15.779733838059	6.291
250	62500	15625000	15.811388300842	6.299
251	63001	15813251	15.842979517755	6.307
252	63504	16003008	15.874507866388	6.316
253	64009	16194277	15.905973720587	6.324
254	64516	16387064	15.937377450509	6.333
255	65025	16581375	15.968719422671	6.341
256	65536	16777216	16	6.349
257	66049	16974593	16.031219541881	6.357
258	66564	17173512	16.062378404209	6.366
259	67081	17373979	16.093476939431	6.374
260	67600	17576000	16.124515496597	6.382
261	68121	17779581	16.155494421404	6.390
262	68644	17984728	16.186414056239	6.398
263	69169	18191447	16.217274740227	6.406
264	69696	18399744	16.248076809272	6.415
265	70225	18609625	16.2788205961	6.423
266	70756	18821096	16.3095064303	6.431
267	71289	19034163	16.340134638368	6.439
268	71824	19248832	16.370705543745	6.447
269	72361	19465109	16.401219466857	6.455
270	72900	19683000	16.431676725155	6.463
271	73441	19902511	16.462077633154	6.471
272	73984	20123648	16.492422502471	6.479
273	74529	20346417	16.522711641858	6.487
274	75076	20570824	16.552945357247	6.495
275	75625	20796875	16.583123951777	6.502
276	76176	21024576	16.613247725836	6.510
277	76729	21253933	16.643316977093	6.518
278	77284	21484952	16.673332000533	6.526
279	77841	21717639	16.70329308849	6.534
280	78400	21952000	16.733200530682	6.542
281	78961	22188041	16.76305461424	6.549
282	79524	22425768	16.792855623747	6.557
283	80089	22665187	16.822603841261	6.565
284	80656	22906304	16.852299546353	6.573
285	81225	23149125	16.881943016134	6.580
286	81796	23393656	16.911534525288	6.588
287	82369	23639903	16.941074346097	6.596
288	82944	23887872	16.970562748477	6.603
289	83521	24137569	17	6.611
290	84100	24389000	17.029386365926	6.619
291	84681	24642171	17.058722109232	6.626
292	85264	24897088	17.088007490635	6.634
293	85849	25153757	17.117242768624	6.641
294	86436	25412184	17.146428199482	6.649
295	87025	25672375	17.175564037318	6.656
296	87616	25934336	17.204650534085	6.664
297	88209	26198073	17.233687939614	6.671
298	88804	26463592	17.262676501632	6.679
299	89401	26730899	17.291616465791	6.686
300	90000	27000000	17.320508075689	6.694
301	90601	27270901	17.349351572897	6.701
302	91204	27543608	17.378147196983	6.709
303	91809	27818127	17.406895185529	6.716
304	92416	28094464	17.435595774163	6.723
305	93025	28372625	17.464249196573	6.731
306	93636	28652616	17.492855684536	6.738
307	94249	28934443	17.521415467935	6.745
308	94864	29218112	17.549928774784	6.753
309	95481	29503629	17.578395831247	6.760
310	96100	29791000	17.606816861659	6.767
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997	994009	991026973	31.575306807694	9.989
998	996004	994011992	31.591137997863	9.993
999	998001	997002999	31.606961258558	9.996
1000	1000000	1000000000	31.622776601684	10

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