Math Tables & Reference Lab · Powers & Roots

Square Roots 1–100

Square roots from 1 through 100 with exact integer roots identified.

n	Root	Approx.	Perfect?
1	√1	1	Yes — 1
2	√2	1.414214	No
3	√3	1.732051	No
4	√4	2	Yes — 2
5	√5	2.236068	No
6	√6	2.44949	No
7	√7	2.645751	No
8	√8	2.828427	No
9	√9	3	Yes — 3
10	√10	3.162278	No
11	√11	3.316625	No
12	√12	3.464102	No
13	√13	3.605551	No
14	√14	3.741657	No
15	√15	3.872983	No
16	√16	4	Yes — 4
17	√17	4.123106	No
18	√18	4.242641	No
19	√19	4.358899	No
20	√20	4.472136	No
21	√21	4.582576	No
22	√22	4.690416	No
23	√23	4.795832	No
24	√24	4.898979	No
25	√25	5	Yes — 5
26	√26	5.09902	No
27	√27	5.196152	No
28	√28	5.291503	No
29	√29	5.385165	No
30	√30	5.477226	No
31	√31	5.567764	No
32	√32	5.656854	No
33	√33	5.744563	No
34	√34	5.830952	No
35	√35	5.91608	No
36	√36	6	Yes — 6
37	√37	6.082763	No
38	√38	6.164414	No
39	√39	6.244998	No
40	√40	6.324555	No
41	√41	6.403124	No
42	√42	6.480741	No
43	√43	6.557439	No
44	√44	6.63325	No
45	√45	6.708204	No
46	√46	6.78233	No
47	√47	6.855655	No
48	√48	6.928203	No
49	√49	7	Yes — 7
50	√50	7.071068	No
51	√51	7.141428	No
52	√52	7.211103	No
53	√53	7.28011	No
54	√54	7.348469	No
55	√55	7.416198	No
56	√56	7.483315	No
57	√57	7.549834	No
58	√58	7.615773	No
59	√59	7.681146	No
60	√60	7.745967	No
61	√61	7.81025	No
62	√62	7.874008	No
63	√63	7.937254	No
64	√64	8	Yes — 8
65	√65	8.062258	No
66	√66	8.124038	No
67	√67	8.185353	No
68	√68	8.246211	No
69	√69	8.306624	No
70	√70	8.3666	No
71	√71	8.42615	No
72	√72	8.485281	No
73	√73	8.544004	No
74	√74	8.602325	No
75	√75	8.660254	No
76	√76	8.717798	No
77	√77	8.774964	No
78	√78	8.831761	No
79	√79	8.888194	No
80	√80	8.944272	No
81	√81	9	Yes — 9
82	√82	9.055385	No
83	√83	9.110434	No
84	√84	9.165151	No
85	√85	9.219544	No
86	√86	9.273618	No
87	√87	9.327379	No
88	√88	9.380832	No
89	√89	9.433981	No
90	√90	9.486833	No
91	√91	9.539392	No
92	√92	9.591663	No
93	√93	9.643651	No
94	√94	9.69536	No
95	√95	9.746794	No
96	√96	9.797959	No
97	√97	9.848858	No
98	√98	9.899495	No
99	√99	9.949874	No
100	√100	10	Yes — 10

How to use this table

Square roots from 1 through 100 with exact integer roots identified. Use it as a reference, for practice, or to check your own work. On large tables, scroll horizontally on a phone. Tap cells to visually track a row or value.