Squares, cubes and roots from 1 to 100

The square, cube, square root and cube root of every number from 1 to 100, with the ones worth learning by heart.

Updated 28 October 2026Free · no sign-up

n	n²	n³	√n	∛n
1	1	1	1	1
2	4	8	1.414	1.260
3	9	27	1.732	1.442
4	16	64	2	1.587
5	25	125	2.236	1.710
6	36	216	2.449	1.817
7	49	343	2.646	1.913
8	64	512	2.828	2
9	81	729	3	2.080
10	100	1,000	3.162	2.154
11	121	1,331	3.317	2.224
12	144	1,728	3.464	2.289
13	169	2,197	3.606	2.351
14	196	2,744	3.742	2.410
15	225	3,375	3.873	2.466
16	256	4,096	4	2.520
17	289	4,913	4.123	2.571
18	324	5,832	4.243	2.621
19	361	6,859	4.359	2.668
20	400	8,000	4.472	2.714
21	441	9,261	4.583	2.759
22	484	10,648	4.690	2.802
23	529	12,167	4.796	2.844
24	576	13,824	4.899	2.884
25	625	15,625	5	2.924
26	676	17,576	5.099	2.962
27	729	19,683	5.196	3
28	784	21,952	5.292	3.037
29	841	24,389	5.385	3.072
30	900	27,000	5.477	3.107
31	961	29,791	5.568	3.141
32	1,024	32,768	5.657	3.175
33	1,089	35,937	5.745	3.208
34	1,156	39,304	5.831	3.240
35	1,225	42,875	5.916	3.271
36	1,296	46,656	6	3.302
37	1,369	50,653	6.083	3.332
38	1,444	54,872	6.164	3.362
39	1,521	59,319	6.245	3.391
40	1,600	64,000	6.325	3.420
41	1,681	68,921	6.403	3.448
42	1,764	74,088	6.481	3.476
43	1,849	79,507	6.557	3.503
44	1,936	85,184	6.633	3.530
45	2,025	91,125	6.708	3.557
46	2,116	97,336	6.782	3.583
47	2,209	1,03,823	6.856	3.609
48	2,304	1,10,592	6.928	3.634
49	2,401	1,17,649	7	3.659
50	2,500	1,25,000	7.071	3.684
51	2,601	1,32,651	7.141	3.708
52	2,704	1,40,608	7.211	3.733
53	2,809	1,48,877	7.280	3.756
54	2,916	1,57,464	7.348	3.780
55	3,025	1,66,375	7.416	3.803
56	3,136	1,75,616	7.483	3.826
57	3,249	1,85,193	7.550	3.849
58	3,364	1,95,112	7.616	3.871
59	3,481	2,05,379	7.681	3.893
60	3,600	2,16,000	7.746	3.915
61	3,721	2,26,981	7.810	3.936
62	3,844	2,38,328	7.874	3.958
63	3,969	2,50,047	7.937	3.979
64	4,096	2,62,144	8	4
65	4,225	2,74,625	8.062	4.021
66	4,356	2,87,496	8.124	4.041
67	4,489	3,00,763	8.185	4.062
68	4,624	3,14,432	8.246	4.082
69	4,761	3,28,509	8.307	4.102
70	4,900	3,43,000	8.367	4.121
71	5,041	3,57,911	8.426	4.141
72	5,184	3,73,248	8.485	4.160
73	5,329	3,89,017	8.544	4.179
74	5,476	4,05,224	8.602	4.198
75	5,625	4,21,875	8.660	4.217
76	5,776	4,38,976	8.718	4.236
77	5,929	4,56,533	8.775	4.254
78	6,084	4,74,552	8.832	4.273
79	6,241	4,93,039	8.888	4.291
80	6,400	5,12,000	8.944	4.309
81	6,561	5,31,441	9	4.327
82	6,724	5,51,368	9.055	4.344
83	6,889	5,71,787	9.110	4.362
84	7,056	5,92,704	9.165	4.380
85	7,225	6,14,125	9.220	4.397
86	7,396	6,36,056	9.274	4.414
87	7,569	6,58,503	9.327	4.431
88	7,744	6,81,472	9.381	4.448
89	7,921	7,04,969	9.434	4.465
90	8,100	7,29,000	9.487	4.481
91	8,281	7,53,571	9.539	4.498
92	8,464	7,78,688	9.592	4.514
93	8,649	8,04,357	9.644	4.531
94	8,836	8,30,584	9.695	4.547
95	9,025	8,57,375	9.747	4.563
96	9,216	8,84,736	9.798	4.579
97	9,409	9,12,673	9.849	4.595
98	9,604	9,41,192	9.899	4.610
99	9,801	9,70,299	9.950	4.626
100	10,000	10,00,000	10	4.642

Which ones to learn by heart

Squares up to 30 and cubes up to 15. They come up all the time, and spotting 729 or 841 straight away saves real time in physics numericals.
Square roots of 2, 3, 5 and 7: 1.414, 1.732, 2.236 and 2.646. Most other roots come from these: √50 = 5√2 ≈ 7.07.

Quick tricks for squares

Ending in 5: multiply the first digit by the next number, then write 25. 35² = (3 × 4) and 25 = 1225.
Near 50: for 50 + d, the square is (25 + d) hundred plus d². 53² = 2800 + 9 = 2809.
Near 100: for 100 − d, the square is (100 − 2d) hundred plus d². 97² = 9400 + 9 = 9409.

Need logs instead? See the log table.

Square roots, worked out

√2 · √3 · √5 · √6 · √7 · √8 · √10 · √11 · √12 · √13 · √14 · √15 · √17 · √18 · √19 · √20 · √21 · √22 · √23 · √24 · √26 · √27 · √28 · √29 · √30 · √31 · √32 · √33 · √34 · √35 · √37 · √38 · √39 · √40 · √41 · √42 · √43 · √44 · √45 · √46 · √47 · √48 · √50 · √72 · √75 · √80 · √98 · √125 · √200

Questions students ask

What is the square root of 2?

1.414 (more exactly 1.41421). √3 is 1.732 and √5 is 2.236.

Which numbers from 1 to 100 are perfect cubes?

1, 8, 27 and 64.

Which numbers from 1 to 100 are perfect squares?

1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.

Squares, cubes and roots from 1 to 100

Which ones to learn by heart

Quick tricks for squares

Square roots, worked out

Questions students ask

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